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Finding the Third Proportional to 658,044 and 1,428,840

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Solution

The third proportional to 658,044 and 1,428,840 is: 3,102,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,044 : 1,428,840 = 1,428,840 : x
  2. Step 2: Convert to fraction form
    658,044/1,428,840 = 1,428,840/x
  3. Step 3: Cross multiply
    658,044x = 1,428,840 × 1,428,840
  4. Step 4: Simplify right side
    658,044x = 2,041,583,745,600
  5. Step 5: Solve for x
    x = 2,041,583,745,600/658,044
  6. Step 6: Final answer
    x = 3,102,503.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.