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Finding the Third Proportional to 677,413.13 and 1,046,476.13

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Solution

The third proportional to 677,413.13 and 1,046,476.13 is: 1,616,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,413.13 : 1,046,476.13 = 1,046,476.13 : x
  2. Step 2: Convert to fraction form
    677,413.13/1,046,476.13 = 1,046,476.13/x
  3. Step 3: Cross multiply
    677,413.13x = 1,046,476.13 × 1,046,476.13
  4. Step 4: Simplify right side
    677,413.13x = 1,095,112,280,195.02
  5. Step 5: Solve for x
    x = 1,095,112,280,195.02/677,413.13
  6. Step 6: Final answer
    x = 1,616,609.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.