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Finding the Third Proportional to 623,592 and 912,060

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Solution

The third proportional to 623,592 and 912,060 is: 1,333,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,592 : 912,060 = 912,060 : x
  2. Step 2: Convert to fraction form
    623,592/912,060 = 912,060/x
  3. Step 3: Cross multiply
    623,592x = 912,060 × 912,060
  4. Step 4: Simplify right side
    623,592x = 831,853,443,600
  5. Step 5: Solve for x
    x = 831,853,443,600/623,592
  6. Step 6: Final answer
    x = 1,333,970.68

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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.