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Finding the Third Proportional to 817,149,664.69 and 1,146,622,742.16

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Solution

The third proportional to 817,149,664.69 and 1,146,622,742.16 is: 1,608,938,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,149,664.69 : 1,146,622,742.16 = 1,146,622,742.16 : x
  2. Step 2: Convert to fraction form
    817,149,664.69/1,146,622,742.16 = 1,146,622,742.16/x
  3. Step 3: Cross multiply
    817,149,664.69x = 1,146,622,742.16 × 1,146,622,742.16
  4. Step 4: Simplify right side
    817,149,664.69x = 1,314,743,712,829,803,264
  5. Step 5: Solve for x
    x = 1,314,743,712,829,803,264/817,149,664.69
  6. Step 6: Final answer
    x = 1,608,938,692.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.