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Finding the Third Proportional to 473,748 and 1,010,486

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Solution

The third proportional to 473,748 and 1,010,486 is: 2,155,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,748 : 1,010,486 = 1,010,486 : x
  2. Step 2: Convert to fraction form
    473,748/1,010,486 = 1,010,486/x
  3. Step 3: Cross multiply
    473,748x = 1,010,486 × 1,010,486
  4. Step 4: Simplify right side
    473,748x = 1,021,081,956,196
  5. Step 5: Solve for x
    x = 1,021,081,956,196/473,748
  6. Step 6: Final answer
    x = 2,155,327.21

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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.