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Finding the Third Proportional to 827,972 and 1,214,688

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Solution

The third proportional to 827,972 and 1,214,688 is: 1,782,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,972 : 1,214,688 = 1,214,688 : x
  2. Step 2: Convert to fraction form
    827,972/1,214,688 = 1,214,688/x
  3. Step 3: Cross multiply
    827,972x = 1,214,688 × 1,214,688
  4. Step 4: Simplify right side
    827,972x = 1,475,466,937,344
  5. Step 5: Solve for x
    x = 1,475,466,937,344/827,972
  6. Step 6: Final answer
    x = 1,782,025.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.