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Finding the Third Proportional to 713,164 and 1,486,088

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Solution

The third proportional to 713,164 and 1,486,088 is: 3,096,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,164 : 1,486,088 = 1,486,088 : x
  2. Step 2: Convert to fraction form
    713,164/1,486,088 = 1,486,088/x
  3. Step 3: Cross multiply
    713,164x = 1,486,088 × 1,486,088
  4. Step 4: Simplify right side
    713,164x = 2,208,457,543,744
  5. Step 5: Solve for x
    x = 2,208,457,543,744/713,164
  6. Step 6: Final answer
    x = 3,096,703.62

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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.