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Finding the Third Proportional to 984,575 and 1,475,220

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Solution

The third proportional to 984,575 and 1,475,220 is: 2,210,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,575 : 1,475,220 = 1,475,220 : x
  2. Step 2: Convert to fraction form
    984,575/1,475,220 = 1,475,220/x
  3. Step 3: Cross multiply
    984,575x = 1,475,220 × 1,475,220
  4. Step 4: Simplify right side
    984,575x = 2,176,274,048,400
  5. Step 5: Solve for x
    x = 2,176,274,048,400/984,575
  6. Step 6: Final answer
    x = 2,210,368.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.