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Finding the Third Proportional to 668,830 and 1,010,377

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Solution

The third proportional to 668,830 and 1,010,377 is: 1,526,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,830 : 1,010,377 = 1,010,377 : x
  2. Step 2: Convert to fraction form
    668,830/1,010,377 = 1,010,377/x
  3. Step 3: Cross multiply
    668,830x = 1,010,377 × 1,010,377
  4. Step 4: Simplify right side
    668,830x = 1,020,861,682,129
  5. Step 5: Solve for x
    x = 1,020,861,682,129/668,830
  6. Step 6: Final answer
    x = 1,526,339.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.