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Finding the Third Proportional to 916,160 and 1,426,589

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Solution

The third proportional to 916,160 and 1,426,589 is: 2,221,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,160 : 1,426,589 = 1,426,589 : x
  2. Step 2: Convert to fraction form
    916,160/1,426,589 = 1,426,589/x
  3. Step 3: Cross multiply
    916,160x = 1,426,589 × 1,426,589
  4. Step 4: Simplify right side
    916,160x = 2,035,156,174,921
  5. Step 5: Solve for x
    x = 2,035,156,174,921/916,160
  6. Step 6: Final answer
    x = 2,221,398.20

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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.