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Finding the Third Proportional to 534,295,881 and 817,333,470

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Solution

The third proportional to 534,295,881 and 817,333,470 is: 1,250,307,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,881 : 817,333,470 = 817,333,470 : x
  2. Step 2: Convert to fraction form
    534,295,881/817,333,470 = 817,333,470/x
  3. Step 3: Cross multiply
    534,295,881x = 817,333,470 × 817,333,470
  4. Step 4: Simplify right side
    534,295,881x = 668,034,001,182,240,896
  5. Step 5: Solve for x
    x = 668,034,001,182,240,896/534,295,881
  6. Step 6: Final answer
    x = 1,250,307,226.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.