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Finding the Third Proportional to 572,190,534 and 1,235,854,506

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Solution

The third proportional to 572,190,534 and 1,235,854,506 is: 2,669,279,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,190,534 : 1,235,854,506 = 1,235,854,506 : x
  2. Step 2: Convert to fraction form
    572,190,534/1,235,854,506 = 1,235,854,506/x
  3. Step 3: Cross multiply
    572,190,534x = 1,235,854,506 × 1,235,854,506
  4. Step 4: Simplify right side
    572,190,534x = 1,527,336,360,000,504,064
  5. Step 5: Solve for x
    x = 1,527,336,360,000,504,064/572,190,534
  6. Step 6: Final answer
    x = 2,669,279,320.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.