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Finding the Third Proportional to 1,025,475 and 2,235,465

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Solution

The third proportional to 1,025,475 and 2,235,465 is: 4,873,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,475 : 2,235,465 = 2,235,465 : x
  2. Step 2: Convert to fraction form
    1,025,475/2,235,465 = 2,235,465/x
  3. Step 3: Cross multiply
    1,025,475x = 2,235,465 × 2,235,465
  4. Step 4: Simplify right side
    1,025,475x = 4,997,303,766,225
  5. Step 5: Solve for x
    x = 4,997,303,766,225/1,025,475
  6. Step 6: Final answer
    x = 4,873,160.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.