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Finding the Third Proportional to 1,026,461,432 and 1,483,059,828

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Solution

The third proportional to 1,026,461,432 and 1,483,059,828 is: 2,142,765,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,461,432 : 1,483,059,828 = 1,483,059,828 : x
  2. Step 2: Convert to fraction form
    1,026,461,432/1,483,059,828 = 1,483,059,828/x
  3. Step 3: Cross multiply
    1,026,461,432x = 1,483,059,828 × 1,483,059,828
  4. Step 4: Simplify right side
    1,026,461,432x = 2,199,466,453,427,389,696
  5. Step 5: Solve for x
    x = 2,199,466,453,427,389,696/1,026,461,432
  6. Step 6: Final answer
    x = 2,142,765,801.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.