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Finding the Third Proportional to 634,421 and 926,314

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Solution

The third proportional to 634,421 and 926,314 is: 1,352,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,421 : 926,314 = 926,314 : x
  2. Step 2: Convert to fraction form
    634,421/926,314 = 926,314/x
  3. Step 3: Cross multiply
    634,421x = 926,314 × 926,314
  4. Step 4: Simplify right side
    634,421x = 858,057,626,596
  5. Step 5: Solve for x
    x = 858,057,626,596/634,421
  6. Step 6: Final answer
    x = 1,352,505.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.