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Finding the Third Proportional to 487,416 and 1,128,284

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Solution

The third proportional to 487,416 and 1,128,284 is: 2,611,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,416 : 1,128,284 = 1,128,284 : x
  2. Step 2: Convert to fraction form
    487,416/1,128,284 = 1,128,284/x
  3. Step 3: Cross multiply
    487,416x = 1,128,284 × 1,128,284
  4. Step 4: Simplify right side
    487,416x = 1,273,024,784,656
  5. Step 5: Solve for x
    x = 1,273,024,784,656/487,416
  6. Step 6: Final answer
    x = 2,611,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.