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Finding the Third Proportional to 525,153 and 1,145,346

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Solution

The third proportional to 525,153 and 1,145,346 is: 2,497,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,153 : 1,145,346 = 1,145,346 : x
  2. Step 2: Convert to fraction form
    525,153/1,145,346 = 1,145,346/x
  3. Step 3: Cross multiply
    525,153x = 1,145,346 × 1,145,346
  4. Step 4: Simplify right side
    525,153x = 1,311,817,459,716
  5. Step 5: Solve for x
    x = 1,311,817,459,716/525,153
  6. Step 6: Final answer
    x = 2,497,971.94

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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.