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Finding the Third Proportional to 532,068,828 and 1,243,152,861

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Solution

The third proportional to 532,068,828 and 1,243,152,861 is: 2,904,566,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,068,828 : 1,243,152,861 = 1,243,152,861 : x
  2. Step 2: Convert to fraction form
    532,068,828/1,243,152,861 = 1,243,152,861/x
  3. Step 3: Cross multiply
    532,068,828x = 1,243,152,861 × 1,243,152,861
  4. Step 4: Simplify right side
    532,068,828x = 1,545,429,035,812,485,376
  5. Step 5: Solve for x
    x = 1,545,429,035,812,485,376/532,068,828
  6. Step 6: Final answer
    x = 2,904,566,015.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.