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Finding the Third Proportional to 686,902.78 and 1,009,748.53

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Solution

The third proportional to 686,902.78 and 1,009,748.53 is: 1,484,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,902.78 : 1,009,748.53 = 1,009,748.53 : x
  2. Step 2: Convert to fraction form
    686,902.78/1,009,748.53 = 1,009,748.53/x
  3. Step 3: Cross multiply
    686,902.78x = 1,009,748.53 × 1,009,748.53
  4. Step 4: Simplify right side
    686,902.78x = 1,019,592,096,361.53
  5. Step 5: Solve for x
    x = 1,019,592,096,361.53/686,902.78
  6. Step 6: Final answer
    x = 1,484,332.46

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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.