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Finding the Third Proportional to 760,740.56 and 1,606,364.06

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Solution

The third proportional to 760,740.56 and 1,606,364.06 is: 3,391,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,740.56 : 1,606,364.06 = 1,606,364.06 : x
  2. Step 2: Convert to fraction form
    760,740.56/1,606,364.06 = 1,606,364.06/x
  3. Step 3: Cross multiply
    760,740.56x = 1,606,364.06 × 1,606,364.06
  4. Step 4: Simplify right side
    760,740.56x = 2,580,405,501,291.50
  5. Step 5: Solve for x
    x = 2,580,405,501,291.50/760,740.56
  6. Step 6: Final answer
    x = 3,391,965.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.