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Finding the Third Proportional to 709,362 and 1,543,139

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Solution

The third proportional to 709,362 and 1,543,139 is: 3,356,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,362 : 1,543,139 = 1,543,139 : x
  2. Step 2: Convert to fraction form
    709,362/1,543,139 = 1,543,139/x
  3. Step 3: Cross multiply
    709,362x = 1,543,139 × 1,543,139
  4. Step 4: Simplify right side
    709,362x = 2,381,277,973,321
  5. Step 5: Solve for x
    x = 2,381,277,973,321/709,362
  6. Step 6: Final answer
    x = 3,356,929.15

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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.