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Finding the Third Proportional to 786,536 and 1,214,574

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Solution

The third proportional to 786,536 and 1,214,574 is: 1,875,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,536 : 1,214,574 = 1,214,574 : x
  2. Step 2: Convert to fraction form
    786,536/1,214,574 = 1,214,574/x
  3. Step 3: Cross multiply
    786,536x = 1,214,574 × 1,214,574
  4. Step 4: Simplify right side
    786,536x = 1,475,190,001,476
  5. Step 5: Solve for x
    x = 1,475,190,001,476/786,536
  6. Step 6: Final answer
    x = 1,875,553.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.