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Finding the Third Proportional to 856,603,438.59 and 1,155,759,162.89

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Solution

The third proportional to 856,603,438.59 and 1,155,759,162.89 is: 1,559,390,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,603,438.59 : 1,155,759,162.89 = 1,155,759,162.89 : x
  2. Step 2: Convert to fraction form
    856,603,438.59/1,155,759,162.89 = 1,155,759,162.89/x
  3. Step 3: Cross multiply
    856,603,438.59x = 1,155,759,162.89 × 1,155,759,162.89
  4. Step 4: Simplify right side
    856,603,438.59x = 1,335,779,242,605,580,288
  5. Step 5: Solve for x
    x = 1,335,779,242,605,580,288/856,603,438.59
  6. Step 6: Final answer
    x = 1,559,390,474.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.