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Finding the Third Proportional to 1,913,164.50 and 4,199,532

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Solution

The third proportional to 1,913,164.50 and 4,199,532 is: 9,218,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,164.50 : 4,199,532 = 4,199,532 : x
  2. Step 2: Convert to fraction form
    1,913,164.50/4,199,532 = 4,199,532/x
  3. Step 3: Cross multiply
    1,913,164.50x = 4,199,532 × 4,199,532
  4. Step 4: Simplify right side
    1,913,164.50x = 17,636,069,019,024
  5. Step 5: Solve for x
    x = 17,636,069,019,024/1,913,164.50
  6. Step 6: Final answer
    x = 9,218,271.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.