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Finding the Third Proportional to 1,026,461,440 and 1,483,059,840

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Solution

The third proportional to 1,026,461,440 and 1,483,059,840 is: 2,142,765,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,461,440 : 1,483,059,840 = 1,483,059,840 : x
  2. Step 2: Convert to fraction form
    1,026,461,440/1,483,059,840 = 1,483,059,840/x
  3. Step 3: Cross multiply
    1,026,461,440x = 1,483,059,840 × 1,483,059,840
  4. Step 4: Simplify right side
    1,026,461,440x = 2,199,466,489,020,825,600
  5. Step 5: Solve for x
    x = 2,199,466,489,020,825,600/1,026,461,440
  6. Step 6: Final answer
    x = 2,142,765,819.84

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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.