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Finding the Third Proportional to 815,352 and 1,918,473

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Solution

The third proportional to 815,352 and 1,918,473 is: 4,514,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,352 : 1,918,473 = 1,918,473 : x
  2. Step 2: Convert to fraction form
    815,352/1,918,473 = 1,918,473/x
  3. Step 3: Cross multiply
    815,352x = 1,918,473 × 1,918,473
  4. Step 4: Simplify right side
    815,352x = 3,680,538,651,729
  5. Step 5: Solve for x
    x = 3,680,538,651,729/815,352
  6. Step 6: Final answer
    x = 4,514,048.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.