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Finding the Third Proportional to 927,465 and 1,475,349

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Solution

The third proportional to 927,465 and 1,475,349 is: 2,346,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,465 : 1,475,349 = 1,475,349 : x
  2. Step 2: Convert to fraction form
    927,465/1,475,349 = 1,475,349/x
  3. Step 3: Cross multiply
    927,465x = 1,475,349 × 1,475,349
  4. Step 4: Simplify right side
    927,465x = 2,176,654,671,801
  5. Step 5: Solve for x
    x = 2,176,654,671,801/927,465
  6. Step 6: Final answer
    x = 2,346,886.05

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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.