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Finding the Third Proportional to 760,440 and 1,661,110.50

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Solution

The third proportional to 760,440 and 1,661,110.50 is: 3,628,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,440 : 1,661,110.50 = 1,661,110.50 : x
  2. Step 2: Convert to fraction form
    760,440/1,661,110.50 = 1,661,110.50/x
  3. Step 3: Cross multiply
    760,440x = 1,661,110.50 × 1,661,110.50
  4. Step 4: Simplify right side
    760,440x = 2,759,288,093,210.25
  5. Step 5: Solve for x
    x = 2,759,288,093,210.25/760,440
  6. Step 6: Final answer
    x = 3,628,541.49

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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.