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Finding the Third Proportional to 1,565,748 and 2,399,164

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Solution

The third proportional to 1,565,748 and 2,399,164 is: 3,676,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,748 : 2,399,164 = 2,399,164 : x
  2. Step 2: Convert to fraction form
    1,565,748/2,399,164 = 2,399,164/x
  3. Step 3: Cross multiply
    1,565,748x = 2,399,164 × 2,399,164
  4. Step 4: Simplify right side
    1,565,748x = 5,755,987,898,896
  5. Step 5: Solve for x
    x = 5,755,987,898,896/1,565,748
  6. Step 6: Final answer
    x = 3,676,190.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.