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Finding the Third Proportional to 532,155 and 1,182,411

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Solution

The third proportional to 532,155 and 1,182,411 is: 2,627,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,155 : 1,182,411 = 1,182,411 : x
  2. Step 2: Convert to fraction form
    532,155/1,182,411 = 1,182,411/x
  3. Step 3: Cross multiply
    532,155x = 1,182,411 × 1,182,411
  4. Step 4: Simplify right side
    532,155x = 1,398,095,772,921
  5. Step 5: Solve for x
    x = 1,398,095,772,921/532,155
  6. Step 6: Final answer
    x = 2,627,234.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.