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Finding the Third Proportional to 532,854 and 1,141,284

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Solution

The third proportional to 532,854 and 1,141,284 is: 2,444,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,854 : 1,141,284 = 1,141,284 : x
  2. Step 2: Convert to fraction form
    532,854/1,141,284 = 1,141,284/x
  3. Step 3: Cross multiply
    532,854x = 1,141,284 × 1,141,284
  4. Step 4: Simplify right side
    532,854x = 1,302,529,168,656
  5. Step 5: Solve for x
    x = 1,302,529,168,656/532,854
  6. Step 6: Final answer
    x = 2,444,439.13

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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.