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Finding the Third Proportional to 684,304 and 1,000,454

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Solution

The third proportional to 684,304 and 1,000,454 is: 1,462,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,304 : 1,000,454 = 1,000,454 : x
  2. Step 2: Convert to fraction form
    684,304/1,000,454 = 1,000,454/x
  3. Step 3: Cross multiply
    684,304x = 1,000,454 × 1,000,454
  4. Step 4: Simplify right side
    684,304x = 1,000,908,206,116
  5. Step 5: Solve for x
    x = 1,000,908,206,116/684,304
  6. Step 6: Final answer
    x = 1,462,666.02

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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.