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Finding the Third Proportional to 515,458 and 1,045,412

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Solution

The third proportional to 515,458 and 1,045,412 is: 2,120,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,458 : 1,045,412 = 1,045,412 : x
  2. Step 2: Convert to fraction form
    515,458/1,045,412 = 1,045,412/x
  3. Step 3: Cross multiply
    515,458x = 1,045,412 × 1,045,412
  4. Step 4: Simplify right side
    515,458x = 1,092,886,249,744
  5. Step 5: Solve for x
    x = 1,092,886,249,744/515,458
  6. Step 6: Final answer
    x = 2,120,223.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.