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Finding the Third Proportional to 426,122 and 904,792.50

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Solution

The third proportional to 426,122 and 904,792.50 is: 1,921,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,122 : 904,792.50 = 904,792.50 : x
  2. Step 2: Convert to fraction form
    426,122/904,792.50 = 904,792.50/x
  3. Step 3: Cross multiply
    426,122x = 904,792.50 × 904,792.50
  4. Step 4: Simplify right side
    426,122x = 818,649,468,056.25
  5. Step 5: Solve for x
    x = 818,649,468,056.25/426,122
  6. Step 6: Final answer
    x = 1,921,162.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.