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Finding the Third Proportional to 694,454 and 1,521,854

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Solution

The third proportional to 694,454 and 1,521,854 is: 3,335,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,454 : 1,521,854 = 1,521,854 : x
  2. Step 2: Convert to fraction form
    694,454/1,521,854 = 1,521,854/x
  3. Step 3: Cross multiply
    694,454x = 1,521,854 × 1,521,854
  4. Step 4: Simplify right side
    694,454x = 2,316,039,597,316
  5. Step 5: Solve for x
    x = 2,316,039,597,316/694,454
  6. Step 6: Final answer
    x = 3,335,051.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.