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Finding the Third Proportional to 640,948 and 1,005,420

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Solution

The third proportional to 640,948 and 1,005,420 is: 1,577,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,948 : 1,005,420 = 1,005,420 : x
  2. Step 2: Convert to fraction form
    640,948/1,005,420 = 1,005,420/x
  3. Step 3: Cross multiply
    640,948x = 1,005,420 × 1,005,420
  4. Step 4: Simplify right side
    640,948x = 1,010,869,376,400
  5. Step 5: Solve for x
    x = 1,010,869,376,400/640,948
  6. Step 6: Final answer
    x = 1,577,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.