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Finding the Third Proportional to 927,457 and 1,475,339

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Solution

The third proportional to 927,457 and 1,475,339 is: 2,346,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,457 : 1,475,339 = 1,475,339 : x
  2. Step 2: Convert to fraction form
    927,457/1,475,339 = 1,475,339/x
  3. Step 3: Cross multiply
    927,457x = 1,475,339 × 1,475,339
  4. Step 4: Simplify right side
    927,457x = 2,176,625,164,921
  5. Step 5: Solve for x
    x = 2,176,625,164,921/927,457
  6. Step 6: Final answer
    x = 2,346,874.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.