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Finding the Third Proportional to 623,516 and 1,344,328

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Solution

The third proportional to 623,516 and 1,344,328 is: 2,898,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,516 : 1,344,328 = 1,344,328 : x
  2. Step 2: Convert to fraction form
    623,516/1,344,328 = 1,344,328/x
  3. Step 3: Cross multiply
    623,516x = 1,344,328 × 1,344,328
  4. Step 4: Simplify right side
    623,516x = 1,807,217,771,584
  5. Step 5: Solve for x
    x = 1,807,217,771,584/623,516
  6. Step 6: Final answer
    x = 2,898,430.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.