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Finding the Third Proportional to 1,570,927.50 and 2,417,627.25

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Solution

The third proportional to 1,570,927.50 and 2,417,627.25 is: 3,720,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,927.50 : 2,417,627.25 = 2,417,627.25 : x
  2. Step 2: Convert to fraction form
    1,570,927.50/2,417,627.25 = 2,417,627.25/x
  3. Step 3: Cross multiply
    1,570,927.50x = 2,417,627.25 × 2,417,627.25
  4. Step 4: Simplify right side
    1,570,927.50x = 5,844,921,519,942.56
  5. Step 5: Solve for x
    x = 5,844,921,519,942.56/1,570,927.50
  6. Step 6: Final answer
    x = 3,720,681.90

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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.