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Finding the Third Proportional to 486,877 and 1,051,514

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Solution

The third proportional to 486,877 and 1,051,514 is: 2,270,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,877 : 1,051,514 = 1,051,514 : x
  2. Step 2: Convert to fraction form
    486,877/1,051,514 = 1,051,514/x
  3. Step 3: Cross multiply
    486,877x = 1,051,514 × 1,051,514
  4. Step 4: Simplify right side
    486,877x = 1,105,681,692,196
  5. Step 5: Solve for x
    x = 1,105,681,692,196/486,877
  6. Step 6: Final answer
    x = 2,270,967.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.