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Finding the Third Proportional to 869,021 and 1,272,421

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Solution

The third proportional to 869,021 and 1,272,421 is: 1,863,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,021 : 1,272,421 = 1,272,421 : x
  2. Step 2: Convert to fraction form
    869,021/1,272,421 = 1,272,421/x
  3. Step 3: Cross multiply
    869,021x = 1,272,421 × 1,272,421
  4. Step 4: Simplify right side
    869,021x = 1,619,055,201,241
  5. Step 5: Solve for x
    x = 1,619,055,201,241/869,021
  6. Step 6: Final answer
    x = 1,863,079.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.