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Finding the Third Proportional to 1,225,047,596 and 1,882,986,738

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Solution

The third proportional to 1,225,047,596 and 1,882,986,738 is: 2,894,286,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,047,596 : 1,882,986,738 = 1,882,986,738 : x
  2. Step 2: Convert to fraction form
    1,225,047,596/1,882,986,738 = 1,882,986,738/x
  3. Step 3: Cross multiply
    1,225,047,596x = 1,882,986,738 × 1,882,986,738
  4. Step 4: Simplify right side
    1,225,047,596x = 3,545,639,055,483,880,448
  5. Step 5: Solve for x
    x = 3,545,639,055,483,880,448/1,225,047,596
  6. Step 6: Final answer
    x = 2,894,286,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.