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Finding the Third Proportional to 1,038,577 and 2,159,709

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Solution

The third proportional to 1,038,577 and 2,159,709 is: 4,491,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,577 : 2,159,709 = 2,159,709 : x
  2. Step 2: Convert to fraction form
    1,038,577/2,159,709 = 2,159,709/x
  3. Step 3: Cross multiply
    1,038,577x = 2,159,709 × 2,159,709
  4. Step 4: Simplify right side
    1,038,577x = 4,664,342,964,681
  5. Step 5: Solve for x
    x = 4,664,342,964,681/1,038,577
  6. Step 6: Final answer
    x = 4,491,090.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.