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Finding the Third Proportional to 975,213 and 1,293,999

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Solution

The third proportional to 975,213 and 1,293,999 is: 1,716,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,213 : 1,293,999 = 1,293,999 : x
  2. Step 2: Convert to fraction form
    975,213/1,293,999 = 1,293,999/x
  3. Step 3: Cross multiply
    975,213x = 1,293,999 × 1,293,999
  4. Step 4: Simplify right side
    975,213x = 1,674,433,412,001
  5. Step 5: Solve for x
    x = 1,674,433,412,001/975,213
  6. Step 6: Final answer
    x = 1,716,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.