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Finding the Third Proportional to 624,804,338 and 1,301,323,360

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Solution

The third proportional to 624,804,338 and 1,301,323,360 is: 2,710,356,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,804,338 : 1,301,323,360 = 1,301,323,360 : x
  2. Step 2: Convert to fraction form
    624,804,338/1,301,323,360 = 1,301,323,360/x
  3. Step 3: Cross multiply
    624,804,338x = 1,301,323,360 × 1,301,323,360
  4. Step 4: Simplify right side
    624,804,338x = 1,693,442,487,281,689,600
  5. Step 5: Solve for x
    x = 1,693,442,487,281,689,600/624,804,338
  6. Step 6: Final answer
    x = 2,710,356,481.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.