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Finding the Third Proportional to 497,316 and 1,073,256

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Solution

The third proportional to 497,316 and 1,073,256 is: 2,316,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,316 : 1,073,256 = 1,073,256 : x
  2. Step 2: Convert to fraction form
    497,316/1,073,256 = 1,073,256/x
  3. Step 3: Cross multiply
    497,316x = 1,073,256 × 1,073,256
  4. Step 4: Simplify right side
    497,316x = 1,151,878,441,536
  5. Step 5: Solve for x
    x = 1,151,878,441,536/497,316
  6. Step 6: Final answer
    x = 2,316,190.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.