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Finding the Third Proportional to 732,312 and 1,543,356

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Solution

The third proportional to 732,312 and 1,543,356 is: 3,252,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,312 : 1,543,356 = 1,543,356 : x
  2. Step 2: Convert to fraction form
    732,312/1,543,356 = 1,543,356/x
  3. Step 3: Cross multiply
    732,312x = 1,543,356 × 1,543,356
  4. Step 4: Simplify right side
    732,312x = 2,381,947,742,736
  5. Step 5: Solve for x
    x = 2,381,947,742,736/732,312
  6. Step 6: Final answer
    x = 3,252,640.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.