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Finding the Third Proportional to 426,411 and 933,048

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Solution

The third proportional to 426,411 and 933,048 is: 2,041,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,411 : 933,048 = 933,048 : x
  2. Step 2: Convert to fraction form
    426,411/933,048 = 933,048/x
  3. Step 3: Cross multiply
    426,411x = 933,048 × 933,048
  4. Step 4: Simplify right side
    426,411x = 870,578,570,304
  5. Step 5: Solve for x
    x = 870,578,570,304/426,411
  6. Step 6: Final answer
    x = 2,041,641.91

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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.