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Finding the Third Proportional to 758,316 and 1,650,539

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Solution

The third proportional to 758,316 and 1,650,539 is: 3,592,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,316 : 1,650,539 = 1,650,539 : x
  2. Step 2: Convert to fraction form
    758,316/1,650,539 = 1,650,539/x
  3. Step 3: Cross multiply
    758,316x = 1,650,539 × 1,650,539
  4. Step 4: Simplify right side
    758,316x = 2,724,278,990,521
  5. Step 5: Solve for x
    x = 2,724,278,990,521/758,316
  6. Step 6: Final answer
    x = 3,592,537.93

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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.