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Finding the Third Proportional to 781,308 and 1,673,208

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Solution

The third proportional to 781,308 and 1,673,208 is: 3,583,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,308 : 1,673,208 = 1,673,208 : x
  2. Step 2: Convert to fraction form
    781,308/1,673,208 = 1,673,208/x
  3. Step 3: Cross multiply
    781,308x = 1,673,208 × 1,673,208
  4. Step 4: Simplify right side
    781,308x = 2,799,625,011,264
  5. Step 5: Solve for x
    x = 2,799,625,011,264/781,308
  6. Step 6: Final answer
    x = 3,583,253.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.