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Finding the Third Proportional to 1,028,074,644 and 1,566,216,994

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Solution

The third proportional to 1,028,074,644 and 1,566,216,994 is: 2,386,048,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,644 : 1,566,216,994 = 1,566,216,994 : x
  2. Step 2: Convert to fraction form
    1,028,074,644/1,566,216,994 = 1,566,216,994/x
  3. Step 3: Cross multiply
    1,028,074,644x = 1,566,216,994 × 1,566,216,994
  4. Step 4: Simplify right side
    1,028,074,644x = 2,453,035,672,294,395,904
  5. Step 5: Solve for x
    x = 2,453,035,672,294,395,904/1,028,074,644
  6. Step 6: Final answer
    x = 2,386,048,218.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.