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Finding the Third Proportional to 704,310 and 1,466,988

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Solution

The third proportional to 704,310 and 1,466,988 is: 3,055,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,310 : 1,466,988 = 1,466,988 : x
  2. Step 2: Convert to fraction form
    704,310/1,466,988 = 1,466,988/x
  3. Step 3: Cross multiply
    704,310x = 1,466,988 × 1,466,988
  4. Step 4: Simplify right side
    704,310x = 2,152,053,792,144
  5. Step 5: Solve for x
    x = 2,152,053,792,144/704,310
  6. Step 6: Final answer
    x = 3,055,549.11

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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.