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Finding the Third Proportional to 632,830 and 1,385,863

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Solution

The third proportional to 632,830 and 1,385,863 is: 3,034,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,830 : 1,385,863 = 1,385,863 : x
  2. Step 2: Convert to fraction form
    632,830/1,385,863 = 1,385,863/x
  3. Step 3: Cross multiply
    632,830x = 1,385,863 × 1,385,863
  4. Step 4: Simplify right side
    632,830x = 1,920,616,254,769
  5. Step 5: Solve for x
    x = 1,920,616,254,769/632,830
  6. Step 6: Final answer
    x = 3,034,963.98

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