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Finding the Third Proportional to 581,741,784 and 1,292,622,084

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Solution

The third proportional to 581,741,784 and 1,292,622,084 is: 2,872,188,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,741,784 : 1,292,622,084 = 1,292,622,084 : x
  2. Step 2: Convert to fraction form
    581,741,784/1,292,622,084 = 1,292,622,084/x
  3. Step 3: Cross multiply
    581,741,784x = 1,292,622,084 × 1,292,622,084
  4. Step 4: Simplify right side
    581,741,784x = 1,670,871,852,044,503,040
  5. Step 5: Solve for x
    x = 1,670,871,852,044,503,040/581,741,784
  6. Step 6: Final answer
    x = 2,872,188,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.