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Finding the Third Proportional to 704,862 and 1,536,354

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Solution

The third proportional to 704,862 and 1,536,354 is: 3,348,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,862 : 1,536,354 = 1,536,354 : x
  2. Step 2: Convert to fraction form
    704,862/1,536,354 = 1,536,354/x
  3. Step 3: Cross multiply
    704,862x = 1,536,354 × 1,536,354
  4. Step 4: Simplify right side
    704,862x = 2,360,383,613,316
  5. Step 5: Solve for x
    x = 2,360,383,613,316/704,862
  6. Step 6: Final answer
    x = 3,348,717.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.