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Finding the Third Proportional to 1,023,186 and 2,152,428

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Solution

The third proportional to 1,023,186 and 2,152,428 is: 4,527,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,186 : 2,152,428 = 2,152,428 : x
  2. Step 2: Convert to fraction form
    1,023,186/2,152,428 = 2,152,428/x
  3. Step 3: Cross multiply
    1,023,186x = 2,152,428 × 2,152,428
  4. Step 4: Simplify right side
    1,023,186x = 4,632,946,295,184
  5. Step 5: Solve for x
    x = 4,632,946,295,184/1,023,186
  6. Step 6: Final answer
    x = 4,527,960.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.