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Finding the Third Proportional to 2,070,312 and 4,524,432

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Solution

The third proportional to 2,070,312 and 4,524,432 is: 9,887,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,312 : 4,524,432 = 4,524,432 : x
  2. Step 2: Convert to fraction form
    2,070,312/4,524,432 = 4,524,432/x
  3. Step 3: Cross multiply
    2,070,312x = 4,524,432 × 4,524,432
  4. Step 4: Simplify right side
    2,070,312x = 20,470,484,922,624
  5. Step 5: Solve for x
    x = 20,470,484,922,624/2,070,312
  6. Step 6: Final answer
    x = 9,887,632.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.