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Finding the Third Proportional to 708,992,450 and 1,139,153,541

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Solution

The third proportional to 708,992,450 and 1,139,153,541 is: 1,830,302,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,992,450 : 1,139,153,541 = 1,139,153,541 : x
  2. Step 2: Convert to fraction form
    708,992,450/1,139,153,541 = 1,139,153,541/x
  3. Step 3: Cross multiply
    708,992,450x = 1,139,153,541 × 1,139,153,541
  4. Step 4: Simplify right side
    708,992,450x = 1,297,670,789,972,838,656
  5. Step 5: Solve for x
    x = 1,297,670,789,972,838,656/708,992,450
  6. Step 6: Final answer
    x = 1,830,302,692.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.