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Finding the Third Proportional to 684,704 and 1,001,700

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Solution

The third proportional to 684,704 and 1,001,700 is: 1,465,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,704 : 1,001,700 = 1,001,700 : x
  2. Step 2: Convert to fraction form
    684,704/1,001,700 = 1,001,700/x
  3. Step 3: Cross multiply
    684,704x = 1,001,700 × 1,001,700
  4. Step 4: Simplify right side
    684,704x = 1,003,402,890,000
  5. Step 5: Solve for x
    x = 1,003,402,890,000/684,704
  6. Step 6: Final answer
    x = 1,465,454.98

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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.