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Finding the Third Proportional to 903,014 and 1,327,547

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Solution

The third proportional to 903,014 and 1,327,547 is: 1,951,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,014 : 1,327,547 = 1,327,547 : x
  2. Step 2: Convert to fraction form
    903,014/1,327,547 = 1,327,547/x
  3. Step 3: Cross multiply
    903,014x = 1,327,547 × 1,327,547
  4. Step 4: Simplify right side
    903,014x = 1,762,381,037,209
  5. Step 5: Solve for x
    x = 1,762,381,037,209/903,014
  6. Step 6: Final answer
    x = 1,951,665.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.