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Finding the Third Proportional to 1,069,222 and 1,413,320

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Solution

The third proportional to 1,069,222 and 1,413,320 is: 1,868,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,222 : 1,413,320 = 1,413,320 : x
  2. Step 2: Convert to fraction form
    1,069,222/1,413,320 = 1,413,320/x
  3. Step 3: Cross multiply
    1,069,222x = 1,413,320 × 1,413,320
  4. Step 4: Simplify right side
    1,069,222x = 1,997,473,422,400
  5. Step 5: Solve for x
    x = 1,997,473,422,400/1,069,222
  6. Step 6: Final answer
    x = 1,868,155.93

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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.