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Finding the Third Proportional to 624,384 and 1,326,516

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Solution

The third proportional to 624,384 and 1,326,516 is: 2,818,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,384 : 1,326,516 = 1,326,516 : x
  2. Step 2: Convert to fraction form
    624,384/1,326,516 = 1,326,516/x
  3. Step 3: Cross multiply
    624,384x = 1,326,516 × 1,326,516
  4. Step 4: Simplify right side
    624,384x = 1,759,644,698,256
  5. Step 5: Solve for x
    x = 1,759,644,698,256/624,384
  6. Step 6: Final answer
    x = 2,818,209.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.