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Finding the Third Proportional to 1,069,211 and 1,413,304

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Solution

The third proportional to 1,069,211 and 1,413,304 is: 1,868,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,211 : 1,413,304 = 1,413,304 : x
  2. Step 2: Convert to fraction form
    1,069,211/1,413,304 = 1,413,304/x
  3. Step 3: Cross multiply
    1,069,211x = 1,413,304 × 1,413,304
  4. Step 4: Simplify right side
    1,069,211x = 1,997,428,196,416
  5. Step 5: Solve for x
    x = 1,997,428,196,416/1,069,211
  6. Step 6: Final answer
    x = 1,868,132.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.