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Finding the Third Proportional to 856,603,574 and 1,155,759,338

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Solution

The third proportional to 856,603,574 and 1,155,759,338 is: 1,559,390,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,603,574 : 1,155,759,338 = 1,155,759,338 : x
  2. Step 2: Convert to fraction form
    856,603,574/1,155,759,338 = 1,155,759,338/x
  3. Step 3: Cross multiply
    856,603,574x = 1,155,759,338 × 1,155,759,338
  4. Step 4: Simplify right side
    856,603,574x = 1,335,779,647,374,198,272
  5. Step 5: Solve for x
    x = 1,335,779,647,374,198,272/856,603,574
  6. Step 6: Final answer
    x = 1,559,390,700.57

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Why These Related Problems?

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