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Finding the Third Proportional to 1,023,184 and 2,152,424

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Solution

The third proportional to 1,023,184 and 2,152,424 is: 4,527,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,184 : 2,152,424 = 2,152,424 : x
  2. Step 2: Convert to fraction form
    1,023,184/2,152,424 = 2,152,424/x
  3. Step 3: Cross multiply
    1,023,184x = 2,152,424 × 2,152,424
  4. Step 4: Simplify right side
    1,023,184x = 4,632,929,075,776
  5. Step 5: Solve for x
    x = 4,632,929,075,776/1,023,184
  6. Step 6: Final answer
    x = 4,527,953.01

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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.