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Finding the Third Proportional to 531,925 and 1,165,585

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Solution

The third proportional to 531,925 and 1,165,585 is: 2,554,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,925 : 1,165,585 = 1,165,585 : x
  2. Step 2: Convert to fraction form
    531,925/1,165,585 = 1,165,585/x
  3. Step 3: Cross multiply
    531,925x = 1,165,585 × 1,165,585
  4. Step 4: Simplify right side
    531,925x = 1,358,588,392,225
  5. Step 5: Solve for x
    x = 1,358,588,392,225/531,925
  6. Step 6: Final answer
    x = 2,554,097.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.