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Finding the Third Proportional to 581,548,394 and 872,748,330

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Solution

The third proportional to 581,548,394 and 872,748,330 is: 1,309,761,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,548,394 : 872,748,330 = 872,748,330 : x
  2. Step 2: Convert to fraction form
    581,548,394/872,748,330 = 872,748,330/x
  3. Step 3: Cross multiply
    581,548,394x = 872,748,330 × 872,748,330
  4. Step 4: Simplify right side
    581,548,394x = 761,689,647,517,788,928
  5. Step 5: Solve for x
    x = 761,689,647,517,788,928/581,548,394
  6. Step 6: Final answer
    x = 1,309,761,415.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.