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Finding the Third Proportional to 632,838 and 1,385,877

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Solution

The third proportional to 632,838 and 1,385,877 is: 3,034,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,838 : 1,385,877 = 1,385,877 : x
  2. Step 2: Convert to fraction form
    632,838/1,385,877 = 1,385,877/x
  3. Step 3: Cross multiply
    632,838x = 1,385,877 × 1,385,877
  4. Step 4: Simplify right side
    632,838x = 1,920,655,059,129
  5. Step 5: Solve for x
    x = 1,920,655,059,129/632,838
  6. Step 6: Final answer
    x = 3,034,986.93

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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.