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Finding the Third Proportional to 727,146 and 1,570,446

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Solution

The third proportional to 727,146 and 1,570,446 is: 3,391,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,146 : 1,570,446 = 1,570,446 : x
  2. Step 2: Convert to fraction form
    727,146/1,570,446 = 1,570,446/x
  3. Step 3: Cross multiply
    727,146x = 1,570,446 × 1,570,446
  4. Step 4: Simplify right side
    727,146x = 2,466,300,638,916
  5. Step 5: Solve for x
    x = 2,466,300,638,916/727,146
  6. Step 6: Final answer
    x = 3,391,754.39

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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.