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Finding the Third Proportional to 465,459,943 and 1,012,640,755

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Solution

The third proportional to 465,459,943 and 1,012,640,755 is: 2,203,070,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,459,943 : 1,012,640,755 = 1,012,640,755 : x
  2. Step 2: Convert to fraction form
    465,459,943/1,012,640,755 = 1,012,640,755/x
  3. Step 3: Cross multiply
    465,459,943x = 1,012,640,755 × 1,012,640,755
  4. Step 4: Simplify right side
    465,459,943x = 1,025,441,298,686,969,984
  5. Step 5: Solve for x
    x = 1,025,441,298,686,969,984/465,459,943
  6. Step 6: Final answer
    x = 2,203,070,992.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.