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Finding the Third Proportional to 634,370 and 864,051

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Solution

The third proportional to 634,370 and 864,051 is: 1,176,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,370 : 864,051 = 864,051 : x
  2. Step 2: Convert to fraction form
    634,370/864,051 = 864,051/x
  3. Step 3: Cross multiply
    634,370x = 864,051 × 864,051
  4. Step 4: Simplify right side
    634,370x = 746,584,130,601
  5. Step 5: Solve for x
    x = 746,584,130,601/634,370
  6. Step 6: Final answer
    x = 1,176,890.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.