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Finding the Third Proportional to 594,724,032 and 1,275,540,480

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Solution

The third proportional to 594,724,032 and 1,275,540,480 is: 2,735,728,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,724,032 : 1,275,540,480 = 1,275,540,480 : x
  2. Step 2: Convert to fraction form
    594,724,032/1,275,540,480 = 1,275,540,480/x
  3. Step 3: Cross multiply
    594,724,032x = 1,275,540,480 × 1,275,540,480
  4. Step 4: Simplify right side
    594,724,032x = 1,627,003,516,118,630,400
  5. Step 5: Solve for x
    x = 1,627,003,516,118,630,400/594,724,032
  6. Step 6: Final answer
    x = 2,735,728,554.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.