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Finding the Third Proportional to 610,521 and 1,326,138

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Solution

The third proportional to 610,521 and 1,326,138 is: 2,880,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,521 : 1,326,138 = 1,326,138 : x
  2. Step 2: Convert to fraction form
    610,521/1,326,138 = 1,326,138/x
  3. Step 3: Cross multiply
    610,521x = 1,326,138 × 1,326,138
  4. Step 4: Simplify right side
    610,521x = 1,758,641,995,044
  5. Step 5: Solve for x
    x = 1,758,641,995,044/610,521
  6. Step 6: Final answer
    x = 2,880,559.38

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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.