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Finding the Third Proportional to 692,952 and 1,036,605

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Solution

The third proportional to 692,952 and 1,036,605 is: 1,550,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,952 : 1,036,605 = 1,036,605 : x
  2. Step 2: Convert to fraction form
    692,952/1,036,605 = 1,036,605/x
  3. Step 3: Cross multiply
    692,952x = 1,036,605 × 1,036,605
  4. Step 4: Simplify right side
    692,952x = 1,074,549,926,025
  5. Step 5: Solve for x
    x = 1,074,549,926,025/692,952
  6. Step 6: Final answer
    x = 1,550,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.