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Finding the Third Proportional to 510,025,875 and 1,081,342,689

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Solution

The third proportional to 510,025,875 and 1,081,342,689 is: 2,292,632,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,025,875 : 1,081,342,689 = 1,081,342,689 : x
  2. Step 2: Convert to fraction form
    510,025,875/1,081,342,689 = 1,081,342,689/x
  3. Step 3: Cross multiply
    510,025,875x = 1,081,342,689 × 1,081,342,689
  4. Step 4: Simplify right side
    510,025,875x = 1,169,302,011,053,750,784
  5. Step 5: Solve for x
    x = 1,169,302,011,053,750,784/510,025,875
  6. Step 6: Final answer
    x = 2,292,632,723.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.