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Finding the Third Proportional to 817,604,982 and 1,226,107,206

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Solution

The third proportional to 817,604,982 and 1,226,107,206 is: 1,838,710,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,604,982 : 1,226,107,206 = 1,226,107,206 : x
  2. Step 2: Convert to fraction form
    817,604,982/1,226,107,206 = 1,226,107,206/x
  3. Step 3: Cross multiply
    817,604,982x = 1,226,107,206 × 1,226,107,206
  4. Step 4: Simplify right side
    817,604,982x = 1,503,338,880,605,126,400
  5. Step 5: Solve for x
    x = 1,503,338,880,605,126,400/817,604,982
  6. Step 6: Final answer
    x = 1,838,710,518.77

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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.