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Finding the Third Proportional to 705,348 and 1,567,656

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Solution

The third proportional to 705,348 and 1,567,656 is: 3,484,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,348 : 1,567,656 = 1,567,656 : x
  2. Step 2: Convert to fraction form
    705,348/1,567,656 = 1,567,656/x
  3. Step 3: Cross multiply
    705,348x = 1,567,656 × 1,567,656
  4. Step 4: Simplify right side
    705,348x = 2,457,545,334,336
  5. Step 5: Solve for x
    x = 2,457,545,334,336/705,348
  6. Step 6: Final answer
    x = 3,484,160.07

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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.