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Finding the Third Proportional to 972,525 and 1,562,587.50

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Solution

The third proportional to 972,525 and 1,562,587.50 is: 2,510,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,525 : 1,562,587.50 = 1,562,587.50 : x
  2. Step 2: Convert to fraction form
    972,525/1,562,587.50 = 1,562,587.50/x
  3. Step 3: Cross multiply
    972,525x = 1,562,587.50 × 1,562,587.50
  4. Step 4: Simplify right side
    972,525x = 2,441,679,695,156.25
  5. Step 5: Solve for x
    x = 2,441,679,695,156.25/972,525
  6. Step 6: Final answer
    x = 2,510,660.08

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.