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Finding the Third Proportional to 873,214 and 1,304,429

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Solution

The third proportional to 873,214 and 1,304,429 is: 1,948,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,214 : 1,304,429 = 1,304,429 : x
  2. Step 2: Convert to fraction form
    873,214/1,304,429 = 1,304,429/x
  3. Step 3: Cross multiply
    873,214x = 1,304,429 × 1,304,429
  4. Step 4: Simplify right side
    873,214x = 1,701,535,016,041
  5. Step 5: Solve for x
    x = 1,701,535,016,041/873,214
  6. Step 6: Final answer
    x = 1,948,588.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.