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Finding the Third Proportional to 361,619,784 and 784,886,724

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Solution

The third proportional to 361,619,784 and 784,886,724 is: 1,703,577,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,619,784 : 784,886,724 = 784,886,724 : x
  2. Step 2: Convert to fraction form
    361,619,784/784,886,724 = 784,886,724/x
  3. Step 3: Cross multiply
    361,619,784x = 784,886,724 × 784,886,724
  4. Step 4: Simplify right side
    361,619,784x = 616,047,169,511,452,160
  5. Step 5: Solve for x
    x = 616,047,169,511,452,160/361,619,784
  6. Step 6: Final answer
    x = 1,703,577,062.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.