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Finding the Third Proportional to 624,146 and 1,344,709

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Solution

The third proportional to 624,146 and 1,344,709 is: 2,897,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,146 : 1,344,709 = 1,344,709 : x
  2. Step 2: Convert to fraction form
    624,146/1,344,709 = 1,344,709/x
  3. Step 3: Cross multiply
    624,146x = 1,344,709 × 1,344,709
  4. Step 4: Simplify right side
    624,146x = 1,808,242,294,681
  5. Step 5: Solve for x
    x = 1,808,242,294,681/624,146
  6. Step 6: Final answer
    x = 2,897,146.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.