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Finding the Third Proportional to 460,222,943 and 988,750,254

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Solution

The third proportional to 460,222,943 and 988,750,254 is: 2,124,246,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,222,943 : 988,750,254 = 988,750,254 : x
  2. Step 2: Convert to fraction form
    460,222,943/988,750,254 = 988,750,254/x
  3. Step 3: Cross multiply
    460,222,943x = 988,750,254 × 988,750,254
  4. Step 4: Simplify right side
    460,222,943x = 977,627,064,785,064,576
  5. Step 5: Solve for x
    x = 977,627,064,785,064,576/460,222,943
  6. Step 6: Final answer
    x = 2,124,246,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.