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Finding the Third Proportional to 1,225,047,584 and 1,882,986,720

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Solution

The third proportional to 1,225,047,584 and 1,882,986,720 is: 2,894,286,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,047,584 : 1,882,986,720 = 1,882,986,720 : x
  2. Step 2: Convert to fraction form
    1,225,047,584/1,882,986,720 = 1,882,986,720/x
  3. Step 3: Cross multiply
    1,225,047,584x = 1,882,986,720 × 1,882,986,720
  4. Step 4: Simplify right side
    1,225,047,584x = 3,545,638,987,696,358,400
  5. Step 5: Solve for x
    x = 3,545,638,987,696,358,400/1,225,047,584
  6. Step 6: Final answer
    x = 2,894,286,747.72

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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.