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Finding the Third Proportional to 1,010,654 and 1,486,421

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Solution

The third proportional to 1,010,654 and 1,486,421 is: 2,186,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,654 : 1,486,421 = 1,486,421 : x
  2. Step 2: Convert to fraction form
    1,010,654/1,486,421 = 1,486,421/x
  3. Step 3: Cross multiply
    1,010,654x = 1,486,421 × 1,486,421
  4. Step 4: Simplify right side
    1,010,654x = 2,209,447,389,241
  5. Step 5: Solve for x
    x = 2,209,447,389,241/1,010,654
  6. Step 6: Final answer
    x = 2,186,156.08

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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.