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Finding the Third Proportional to 671,352 and 1,024,560

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Solution

The third proportional to 671,352 and 1,024,560 is: 1,563,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,352 : 1,024,560 = 1,024,560 : x
  2. Step 2: Convert to fraction form
    671,352/1,024,560 = 1,024,560/x
  3. Step 3: Cross multiply
    671,352x = 1,024,560 × 1,024,560
  4. Step 4: Simplify right side
    671,352x = 1,049,723,193,600
  5. Step 5: Solve for x
    x = 1,049,723,193,600/671,352
  6. Step 6: Final answer
    x = 1,563,595.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.