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Finding the Third Proportional to 1,026,461,424 and 1,483,059,816

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Solution

The third proportional to 1,026,461,424 and 1,483,059,816 is: 2,142,765,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,461,424 : 1,483,059,816 = 1,483,059,816 : x
  2. Step 2: Convert to fraction form
    1,026,461,424/1,483,059,816 = 1,483,059,816/x
  3. Step 3: Cross multiply
    1,026,461,424x = 1,483,059,816 × 1,483,059,816
  4. Step 4: Simplify right side
    1,026,461,424x = 2,199,466,417,833,953,792
  5. Step 5: Solve for x
    x = 2,199,466,417,833,953,792/1,026,461,424
  6. Step 6: Final answer
    x = 2,142,765,783.89

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