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Finding the Third Proportional to 1,020,112 and 1,574,057

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Solution

The third proportional to 1,020,112 and 1,574,057 is: 2,428,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,112 : 1,574,057 = 1,574,057 : x
  2. Step 2: Convert to fraction form
    1,020,112/1,574,057 = 1,574,057/x
  3. Step 3: Cross multiply
    1,020,112x = 1,574,057 × 1,574,057
  4. Step 4: Simplify right side
    1,020,112x = 2,477,655,439,249
  5. Step 5: Solve for x
    x = 2,477,655,439,249/1,020,112
  6. Step 6: Final answer
    x = 2,428,807.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.