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Finding the Third Proportional to 498,477,017 and 1,084,730,372

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Solution

The third proportional to 498,477,017 and 1,084,730,372 is: 2,360,469,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,477,017 : 1,084,730,372 = 1,084,730,372 : x
  2. Step 2: Convert to fraction form
    498,477,017/1,084,730,372 = 1,084,730,372/x
  3. Step 3: Cross multiply
    498,477,017x = 1,084,730,372 × 1,084,730,372
  4. Step 4: Simplify right side
    498,477,017x = 1,176,639,979,939,258,368
  5. Step 5: Solve for x
    x = 1,176,639,979,939,258,368/498,477,017
  6. Step 6: Final answer
    x = 2,360,469,870.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.