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Finding the Third Proportional to 581,974,900 and 1,260,816,200

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Solution

The third proportional to 581,974,900 and 1,260,816,200 is: 2,731,488,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,974,900 : 1,260,816,200 = 1,260,816,200 : x
  2. Step 2: Convert to fraction form
    581,974,900/1,260,816,200 = 1,260,816,200/x
  3. Step 3: Cross multiply
    581,974,900x = 1,260,816,200 × 1,260,816,200
  4. Step 4: Simplify right side
    581,974,900x = 1,589,657,490,182,439,936
  5. Step 5: Solve for x
    x = 1,589,657,490,182,439,936/581,974,900
  6. Step 6: Final answer
    x = 2,731,488,059.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.