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Finding the Third Proportional to 686,548 and 1,495,146

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Solution

The third proportional to 686,548 and 1,495,146 is: 3,256,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,548 : 1,495,146 = 1,495,146 : x
  2. Step 2: Convert to fraction form
    686,548/1,495,146 = 1,495,146/x
  3. Step 3: Cross multiply
    686,548x = 1,495,146 × 1,495,146
  4. Step 4: Simplify right side
    686,548x = 2,235,461,561,316
  5. Step 5: Solve for x
    x = 2,235,461,561,316/686,548
  6. Step 6: Final answer
    x = 3,256,089.25

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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.