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Finding the Third Proportional to 624,804,780 and 1,301,324,208

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Solution

The third proportional to 624,804,780 and 1,301,324,208 is: 2,710,358,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,804,780 : 1,301,324,208 = 1,301,324,208 : x
  2. Step 2: Convert to fraction form
    624,804,780/1,301,324,208 = 1,301,324,208/x
  3. Step 3: Cross multiply
    624,804,780x = 1,301,324,208 × 1,301,324,208
  4. Step 4: Simplify right side
    624,804,780x = 1,693,444,694,326,827,264
  5. Step 5: Solve for x
    x = 1,693,444,694,326,827,264/624,804,780
  6. Step 6: Final answer
    x = 2,710,358,096.70

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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.