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Finding the Third Proportional to 984,326,714 and 1,439,120,046

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Solution

The third proportional to 984,326,714 and 1,439,120,046 is: 2,104,043,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,326,714 : 1,439,120,046 = 1,439,120,046 : x
  2. Step 2: Convert to fraction form
    984,326,714/1,439,120,046 = 1,439,120,046/x
  3. Step 3: Cross multiply
    984,326,714x = 1,439,120,046 × 1,439,120,046
  4. Step 4: Simplify right side
    984,326,714x = 2,071,066,506,799,042,048
  5. Step 5: Solve for x
    x = 2,071,066,506,799,042,048/984,326,714
  6. Step 6: Final answer
    x = 2,104,043,786.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.