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Finding the Third Proportional to 3,006,486.49 and 4,084,681.92

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Solution

The third proportional to 3,006,486.49 and 4,084,681.92 is: 5,549,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,486.49 : 4,084,681.92 = 4,084,681.92 : x
  2. Step 2: Convert to fraction form
    3,006,486.49/4,084,681.92 = 4,084,681.92/x
  3. Step 3: Cross multiply
    3,006,486.49x = 4,084,681.92 × 4,084,681.92
  4. Step 4: Simplify right side
    3,006,486.49x = 16,684,626,402,892.44
  5. Step 5: Solve for x
    x = 16,684,626,402,892.44/3,006,486.49
  6. Step 6: Final answer
    x = 5,549,543.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.