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Finding the Third Proportional to 931,160 and 1,423,814

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Solution

The third proportional to 931,160 and 1,423,814 is: 2,177,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,160 : 1,423,814 = 1,423,814 : x
  2. Step 2: Convert to fraction form
    931,160/1,423,814 = 1,423,814/x
  3. Step 3: Cross multiply
    931,160x = 1,423,814 × 1,423,814
  4. Step 4: Simplify right side
    931,160x = 2,027,246,306,596
  5. Step 5: Solve for x
    x = 2,027,246,306,596/931,160
  6. Step 6: Final answer
    x = 2,177,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.