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Finding the Third Proportional to 671,418 and 1,308,572

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Solution

The third proportional to 671,418 and 1,308,572 is: 2,550,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,418 : 1,308,572 = 1,308,572 : x
  2. Step 2: Convert to fraction form
    671,418/1,308,572 = 1,308,572/x
  3. Step 3: Cross multiply
    671,418x = 1,308,572 × 1,308,572
  4. Step 4: Simplify right side
    671,418x = 1,712,360,679,184
  5. Step 5: Solve for x
    x = 1,712,360,679,184/671,418
  6. Step 6: Final answer
    x = 2,550,364.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.