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Finding the Third Proportional to 1,130,243 and 1,697,893

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Solution

The third proportional to 1,130,243 and 1,697,893 is: 2,550,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,243 : 1,697,893 = 1,697,893 : x
  2. Step 2: Convert to fraction form
    1,130,243/1,697,893 = 1,697,893/x
  3. Step 3: Cross multiply
    1,130,243x = 1,697,893 × 1,697,893
  4. Step 4: Simplify right side
    1,130,243x = 2,882,840,639,449
  5. Step 5: Solve for x
    x = 2,882,840,639,449/1,130,243
  6. Step 6: Final answer
    x = 2,550,637.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.