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Finding the Third Proportional to 610,523 and 1,326,142

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Solution

The third proportional to 610,523 and 1,326,142 is: 2,880,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,523 : 1,326,142 = 1,326,142 : x
  2. Step 2: Convert to fraction form
    610,523/1,326,142 = 1,326,142/x
  3. Step 3: Cross multiply
    610,523x = 1,326,142 × 1,326,142
  4. Step 4: Simplify right side
    610,523x = 1,758,652,604,164
  5. Step 5: Solve for x
    x = 1,758,652,604,164/610,523
  6. Step 6: Final answer
    x = 2,880,567.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.