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Finding the Third Proportional to 1,069,219 and 1,413,315

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Solution

The third proportional to 1,069,219 and 1,413,315 is: 1,868,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,219 : 1,413,315 = 1,413,315 : x
  2. Step 2: Convert to fraction form
    1,069,219/1,413,315 = 1,413,315/x
  3. Step 3: Cross multiply
    1,069,219x = 1,413,315 × 1,413,315
  4. Step 4: Simplify right side
    1,069,219x = 1,997,459,289,225
  5. Step 5: Solve for x
    x = 1,997,459,289,225/1,069,219
  6. Step 6: Final answer
    x = 1,868,147.96

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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.