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Finding the Third Proportional to 586,592 and 914,944

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Solution

The third proportional to 586,592 and 914,944 is: 1,427,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,592 : 914,944 = 914,944 : x
  2. Step 2: Convert to fraction form
    586,592/914,944 = 914,944/x
  3. Step 3: Cross multiply
    586,592x = 914,944 × 914,944
  4. Step 4: Simplify right side
    586,592x = 837,122,523,136
  5. Step 5: Solve for x
    x = 837,122,523,136/586,592
  6. Step 6: Final answer
    x = 1,427,095.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.