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Finding the Third Proportional to 1,052,969 and 1,539,963

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Solution

The third proportional to 1,052,969 and 1,539,963 is: 2,252,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,969 : 1,539,963 = 1,539,963 : x
  2. Step 2: Convert to fraction form
    1,052,969/1,539,963 = 1,539,963/x
  3. Step 3: Cross multiply
    1,052,969x = 1,539,963 × 1,539,963
  4. Step 4: Simplify right side
    1,052,969x = 2,371,486,041,369
  5. Step 5: Solve for x
    x = 2,371,486,041,369/1,052,969
  6. Step 6: Final answer
    x = 2,252,189.80

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Why These Related Problems?

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