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Finding the Third Proportional to 602,925.75 and 1,293,270.75

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Solution

The third proportional to 602,925.75 and 1,293,270.75 is: 2,774,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,925.75 : 1,293,270.75 = 1,293,270.75 : x
  2. Step 2: Convert to fraction form
    602,925.75/1,293,270.75 = 1,293,270.75/x
  3. Step 3: Cross multiply
    602,925.75x = 1,293,270.75 × 1,293,270.75
  4. Step 4: Simplify right side
    602,925.75x = 1,672,549,232,805.56
  5. Step 5: Solve for x
    x = 1,672,549,232,805.56/602,925.75
  6. Step 6: Final answer
    x = 2,774,055.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.