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Finding the Third Proportional to 702,472 and 1,517,264

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Solution

The third proportional to 702,472 and 1,517,264 is: 3,277,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,472 : 1,517,264 = 1,517,264 : x
  2. Step 2: Convert to fraction form
    702,472/1,517,264 = 1,517,264/x
  3. Step 3: Cross multiply
    702,472x = 1,517,264 × 1,517,264
  4. Step 4: Simplify right side
    702,472x = 2,302,090,045,696
  5. Step 5: Solve for x
    x = 2,302,090,045,696/702,472
  6. Step 6: Final answer
    x = 3,277,127.12

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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.