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Finding the Third Proportional to 678,969 and 1,488,510

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Solution

The third proportional to 678,969 and 1,488,510 is: 3,263,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,969 : 1,488,510 = 1,488,510 : x
  2. Step 2: Convert to fraction form
    678,969/1,488,510 = 1,488,510/x
  3. Step 3: Cross multiply
    678,969x = 1,488,510 × 1,488,510
  4. Step 4: Simplify right side
    678,969x = 2,215,662,020,100
  5. Step 5: Solve for x
    x = 2,215,662,020,100/678,969
  6. Step 6: Final answer
    x = 3,263,274.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.