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Finding the Third Proportional to 772,134,420 and 1,087,335,402

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Solution

The third proportional to 772,134,420 and 1,087,335,402 is: 1,531,207,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,134,420 : 1,087,335,402 = 1,087,335,402 : x
  2. Step 2: Convert to fraction form
    772,134,420/1,087,335,402 = 1,087,335,402/x
  3. Step 3: Cross multiply
    772,134,420x = 1,087,335,402 × 1,087,335,402
  4. Step 4: Simplify right side
    772,134,420x = 1,182,298,276,442,501,632
  5. Step 5: Solve for x
    x = 1,182,298,276,442,501,632/772,134,420
  6. Step 6: Final answer
    x = 1,531,207,838.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.