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Finding the Third Proportional to 710,116 and 1,550,264

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Solution

The third proportional to 710,116 and 1,550,264 is: 3,384,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,116 : 1,550,264 = 1,550,264 : x
  2. Step 2: Convert to fraction form
    710,116/1,550,264 = 1,550,264/x
  3. Step 3: Cross multiply
    710,116x = 1,550,264 × 1,550,264
  4. Step 4: Simplify right side
    710,116x = 2,403,318,469,696
  5. Step 5: Solve for x
    x = 2,403,318,469,696/710,116
  6. Step 6: Final answer
    x = 3,384,402.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.