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Finding the Third Proportional to 1,024,236 and 1,475,346

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Solution

The third proportional to 1,024,236 and 1,475,346 is: 2,125,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,236 : 1,475,346 = 1,475,346 : x
  2. Step 2: Convert to fraction form
    1,024,236/1,475,346 = 1,475,346/x
  3. Step 3: Cross multiply
    1,024,236x = 1,475,346 × 1,475,346
  4. Step 4: Simplify right side
    1,024,236x = 2,176,645,819,716
  5. Step 5: Solve for x
    x = 2,176,645,819,716/1,024,236
  6. Step 6: Final answer
    x = 2,125,140.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.