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Finding the Third Proportional to 590,838 and 916,605

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Solution

The third proportional to 590,838 and 916,605 is: 1,421,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,838 : 916,605 = 916,605 : x
  2. Step 2: Convert to fraction form
    590,838/916,605 = 916,605/x
  3. Step 3: Cross multiply
    590,838x = 916,605 × 916,605
  4. Step 4: Simplify right side
    590,838x = 840,164,726,025
  5. Step 5: Solve for x
    x = 840,164,726,025/590,838
  6. Step 6: Final answer
    x = 1,421,988.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.