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Finding the Third Proportional to 1,457,250.75 and 2,186,038.13

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Solution

The third proportional to 1,457,250.75 and 2,186,038.13 is: 3,279,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,250.75 : 2,186,038.13 = 2,186,038.13 : x
  2. Step 2: Convert to fraction form
    1,457,250.75/2,186,038.13 = 2,186,038.13/x
  3. Step 3: Cross multiply
    1,457,250.75x = 2,186,038.13 × 2,186,038.13
  4. Step 4: Simplify right side
    1,457,250.75x = 4,778,762,683,953.52
  5. Step 5: Solve for x
    x = 4,778,762,683,953.52/1,457,250.75
  6. Step 6: Final answer
    x = 3,279,300.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.