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Finding the Third Proportional to 704,314 and 1,466,996

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Solution

The third proportional to 704,314 and 1,466,996 is: 3,055,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,314 : 1,466,996 = 1,466,996 : x
  2. Step 2: Convert to fraction form
    704,314/1,466,996 = 1,466,996/x
  3. Step 3: Cross multiply
    704,314x = 1,466,996 × 1,466,996
  4. Step 4: Simplify right side
    704,314x = 2,152,077,264,016
  5. Step 5: Solve for x
    x = 2,152,077,264,016/704,314
  6. Step 6: Final answer
    x = 3,055,565.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.