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Finding the Third Proportional to 927,332 and 1,977,142

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Solution

The third proportional to 927,332 and 1,977,142 is: 4,215,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,332 : 1,977,142 = 1,977,142 : x
  2. Step 2: Convert to fraction form
    927,332/1,977,142 = 1,977,142/x
  3. Step 3: Cross multiply
    927,332x = 1,977,142 × 1,977,142
  4. Step 4: Simplify right side
    927,332x = 3,909,090,488,164
  5. Step 5: Solve for x
    x = 3,909,090,488,164/927,332
  6. Step 6: Final answer
    x = 4,215,416.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.