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Finding the Third Proportional to 1,897,639.50 and 4,132,213

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Solution

The third proportional to 1,897,639.50 and 4,132,213 is: 8,998,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,639.50 : 4,132,213 = 4,132,213 : x
  2. Step 2: Convert to fraction form
    1,897,639.50/4,132,213 = 4,132,213/x
  3. Step 3: Cross multiply
    1,897,639.50x = 4,132,213 × 4,132,213
  4. Step 4: Simplify right side
    1,897,639.50x = 17,075,184,277,369
  5. Step 5: Solve for x
    x = 17,075,184,277,369/1,897,639.50
  6. Step 6: Final answer
    x = 8,998,118.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.