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Finding the Third Proportional to 473,746 and 1,010,482

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Solution

The third proportional to 473,746 and 1,010,482 is: 2,155,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,746 : 1,010,482 = 1,010,482 : x
  2. Step 2: Convert to fraction form
    473,746/1,010,482 = 1,010,482/x
  3. Step 3: Cross multiply
    473,746x = 1,010,482 × 1,010,482
  4. Step 4: Simplify right side
    473,746x = 1,021,073,872,324
  5. Step 5: Solve for x
    x = 1,021,073,872,324/473,746
  6. Step 6: Final answer
    x = 2,155,319.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.