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Finding the Third Proportional to 686,545 and 1,495,141

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Solution

The third proportional to 686,545 and 1,495,141 is: 3,256,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,545 : 1,495,141 = 1,495,141 : x
  2. Step 2: Convert to fraction form
    686,545/1,495,141 = 1,495,141/x
  3. Step 3: Cross multiply
    686,545x = 1,495,141 × 1,495,141
  4. Step 4: Simplify right side
    686,545x = 2,235,446,609,881
  5. Step 5: Solve for x
    x = 2,235,446,609,881/686,545
  6. Step 6: Final answer
    x = 3,256,081.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.