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Finding the Third Proportional to 1,030,306 and 1,576,212

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Solution

The third proportional to 1,030,306 and 1,576,212 is: 2,411,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,306 : 1,576,212 = 1,576,212 : x
  2. Step 2: Convert to fraction form
    1,030,306/1,576,212 = 1,576,212/x
  3. Step 3: Cross multiply
    1,030,306x = 1,576,212 × 1,576,212
  4. Step 4: Simplify right side
    1,030,306x = 2,484,444,268,944
  5. Step 5: Solve for x
    x = 2,484,444,268,944/1,030,306
  6. Step 6: Final answer
    x = 2,411,365.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.