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Finding the Third Proportional to 608,604 and 913,020

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Solution

The third proportional to 608,604 and 913,020 is: 1,369,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,604 : 913,020 = 913,020 : x
  2. Step 2: Convert to fraction form
    608,604/913,020 = 913,020/x
  3. Step 3: Cross multiply
    608,604x = 913,020 × 913,020
  4. Step 4: Simplify right side
    608,604x = 833,605,520,400
  5. Step 5: Solve for x
    x = 833,605,520,400/608,604
  6. Step 6: Final answer
    x = 1,369,701.02

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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.