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Finding the Third Proportional to 709,946 and 1,544,284

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Solution

The third proportional to 709,946 and 1,544,284 is: 3,359,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,946 : 1,544,284 = 1,544,284 : x
  2. Step 2: Convert to fraction form
    709,946/1,544,284 = 1,544,284/x
  3. Step 3: Cross multiply
    709,946x = 1,544,284 × 1,544,284
  4. Step 4: Simplify right side
    709,946x = 2,384,813,072,656
  5. Step 5: Solve for x
    x = 2,384,813,072,656/709,946
  6. Step 6: Final answer
    x = 3,359,147.14

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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.