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Finding the Third Proportional to 945,390 and 1,377,459

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Solution

The third proportional to 945,390 and 1,377,459 is: 2,006,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,390 : 1,377,459 = 1,377,459 : x
  2. Step 2: Convert to fraction form
    945,390/1,377,459 = 1,377,459/x
  3. Step 3: Cross multiply
    945,390x = 1,377,459 × 1,377,459
  4. Step 4: Simplify right side
    945,390x = 1,897,393,296,681
  5. Step 5: Solve for x
    x = 1,897,393,296,681/945,390
  6. Step 6: Final answer
    x = 2,006,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.