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Finding the Third Proportional to 683,597 and 1,495,921

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Solution

The third proportional to 683,597 and 1,495,921 is: 3,273,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,597 : 1,495,921 = 1,495,921 : x
  2. Step 2: Convert to fraction form
    683,597/1,495,921 = 1,495,921/x
  3. Step 3: Cross multiply
    683,597x = 1,495,921 × 1,495,921
  4. Step 4: Simplify right side
    683,597x = 2,237,779,638,241
  5. Step 5: Solve for x
    x = 2,237,779,638,241/683,597
  6. Step 6: Final answer
    x = 3,273,536.36

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Why These Related Problems?

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