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Finding the Third Proportional to 856,603,593 and 1,155,759,363

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Solution

The third proportional to 856,603,593 and 1,155,759,363 is: 1,559,390,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,603,593 : 1,155,759,363 = 1,155,759,363 : x
  2. Step 2: Convert to fraction form
    856,603,593/1,155,759,363 = 1,155,759,363/x
  3. Step 3: Cross multiply
    856,603,593x = 1,155,759,363 × 1,155,759,363
  4. Step 4: Simplify right side
    856,603,593x = 1,335,779,705,162,165,760
  5. Step 5: Solve for x
    x = 1,335,779,705,162,165,760/856,603,593
  6. Step 6: Final answer
    x = 1,559,390,733.45

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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.