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Finding the Third Proportional to 984,326,712 and 1,439,120,043

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Solution

The third proportional to 984,326,712 and 1,439,120,043 is: 2,104,043,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,326,712 : 1,439,120,043 = 1,439,120,043 : x
  2. Step 2: Convert to fraction form
    984,326,712/1,439,120,043 = 1,439,120,043/x
  3. Step 3: Cross multiply
    984,326,712x = 1,439,120,043 × 1,439,120,043
  4. Step 4: Simplify right side
    984,326,712x = 2,071,066,498,164,321,792
  5. Step 5: Solve for x
    x = 2,071,066,498,164,321,792/984,326,712
  6. Step 6: Final answer
    x = 2,104,043,782.33

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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.