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Finding the Third Proportional to 712,591 and 1,484,153

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Solution

The third proportional to 712,591 and 1,484,153 is: 3,091,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,591 : 1,484,153 = 1,484,153 : x
  2. Step 2: Convert to fraction form
    712,591/1,484,153 = 1,484,153/x
  3. Step 3: Cross multiply
    712,591x = 1,484,153 × 1,484,153
  4. Step 4: Simplify right side
    712,591x = 2,202,710,127,409
  5. Step 5: Solve for x
    x = 2,202,710,127,409/712,591
  6. Step 6: Final answer
    x = 3,091,128.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.