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Finding the Third Proportional to 1,144,648.50 and 1,554,586.50

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Solution

The third proportional to 1,144,648.50 and 1,554,586.50 is: 2,111,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,648.50 : 1,554,586.50 = 1,554,586.50 : x
  2. Step 2: Convert to fraction form
    1,144,648.50/1,554,586.50 = 1,554,586.50/x
  3. Step 3: Cross multiply
    1,144,648.50x = 1,554,586.50 × 1,554,586.50
  4. Step 4: Simplify right side
    1,144,648.50x = 2,416,739,185,982.25
  5. Step 5: Solve for x
    x = 2,416,739,185,982.25/1,144,648.50
  6. Step 6: Final answer
    x = 2,111,337.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.