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Finding the Third Proportional to 778,572 and 1,673,541

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Solution

The third proportional to 778,572 and 1,673,541 is: 3,597,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572 : 1,673,541 = 1,673,541 : x
  2. Step 2: Convert to fraction form
    778,572/1,673,541 = 1,673,541/x
  3. Step 3: Cross multiply
    778,572x = 1,673,541 × 1,673,541
  4. Step 4: Simplify right side
    778,572x = 2,800,739,478,681
  5. Step 5: Solve for x
    x = 2,800,739,478,681/778,572
  6. Step 6: Final answer
    x = 3,597,277.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.