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Finding the Third Proportional to 1,010,683.13 and 1,486,447.03

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Solution

The third proportional to 1,010,683.13 and 1,486,447.03 is: 2,186,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,683.13 : 1,486,447.03 = 1,486,447.03 : x
  2. Step 2: Convert to fraction form
    1,010,683.13/1,486,447.03 = 1,486,447.03/x
  3. Step 3: Cross multiply
    1,010,683.13x = 1,486,447.03 × 1,486,447.03
  4. Step 4: Simplify right side
    1,010,683.13x = 2,209,524,776,711.94
  5. Step 5: Solve for x
    x = 2,209,524,776,711.94/1,010,683.13
  6. Step 6: Final answer
    x = 2,186,169.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.