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Finding the Third Proportional to 687,754,658 and 1,510,620,572

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Solution

The third proportional to 687,754,658 and 1,510,620,572 is: 3,318,006,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,754,658 : 1,510,620,572 = 1,510,620,572 : x
  2. Step 2: Convert to fraction form
    687,754,658/1,510,620,572 = 1,510,620,572/x
  3. Step 3: Cross multiply
    687,754,658x = 1,510,620,572 × 1,510,620,572
  4. Step 4: Simplify right side
    687,754,658x = 2,281,974,512,549,607,168
  5. Step 5: Solve for x
    x = 2,281,974,512,549,607,168/687,754,658
  6. Step 6: Final answer
    x = 3,318,006,626.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.