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Finding the Third Proportional to 1,186,423.50 and 2,559,471

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Solution

The third proportional to 1,186,423.50 and 2,559,471 is: 5,521,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,423.50 : 2,559,471 = 2,559,471 : x
  2. Step 2: Convert to fraction form
    1,186,423.50/2,559,471 = 2,559,471/x
  3. Step 3: Cross multiply
    1,186,423.50x = 2,559,471 × 2,559,471
  4. Step 4: Simplify right side
    1,186,423.50x = 6,550,891,799,841
  5. Step 5: Solve for x
    x = 6,550,891,799,841/1,186,423.50
  6. Step 6: Final answer
    x = 5,521,545.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.