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Finding the Third Proportional to 1,140,565 and 1,765,446

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Solution

The third proportional to 1,140,565 and 1,765,446 is: 2,732,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,565 : 1,765,446 = 1,765,446 : x
  2. Step 2: Convert to fraction form
    1,140,565/1,765,446 = 1,765,446/x
  3. Step 3: Cross multiply
    1,140,565x = 1,765,446 × 1,765,446
  4. Step 4: Simplify right side
    1,140,565x = 3,116,799,578,916
  5. Step 5: Solve for x
    x = 3,116,799,578,916/1,140,565
  6. Step 6: Final answer
    x = 2,732,680.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.