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Finding the Third Proportional to 760,725.84 and 1,606,332.94

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Solution

The third proportional to 760,725.84 and 1,606,332.94 is: 3,391,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,725.84 : 1,606,332.94 = 1,606,332.94 : x
  2. Step 2: Convert to fraction form
    760,725.84/1,606,332.94 = 1,606,332.94/x
  3. Step 3: Cross multiply
    760,725.84x = 1,606,332.94 × 1,606,332.94
  4. Step 4: Simplify right side
    760,725.84x = 2,580,305,506,097.38
  5. Step 5: Solve for x
    x = 2,580,305,506,097.38/760,725.84
  6. Step 6: Final answer
    x = 3,391,899.36

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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.