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Finding the Third Proportional to 1,026,461,523 and 1,483,059,964.50

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Solution

The third proportional to 1,026,461,523 and 1,483,059,964.50 is: 2,142,766,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,461,523 : 1,483,059,964.50 = 1,483,059,964.50 : x
  2. Step 2: Convert to fraction form
    1,026,461,523/1,483,059,964.50 = 1,483,059,964.50/x
  3. Step 3: Cross multiply
    1,026,461,523x = 1,483,059,964.50 × 1,483,059,964.50
  4. Step 4: Simplify right side
    1,026,461,523x = 2,199,466,858,302,741,248
  5. Step 5: Solve for x
    x = 2,199,466,858,302,741,248/1,026,461,523
  6. Step 6: Final answer
    x = 2,142,766,006.34

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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.