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Finding the Third Proportional to 975,236 and 1,294,032

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Solution

The third proportional to 975,236 and 1,294,032 is: 1,717,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,236 : 1,294,032 = 1,294,032 : x
  2. Step 2: Convert to fraction form
    975,236/1,294,032 = 1,294,032/x
  3. Step 3: Cross multiply
    975,236x = 1,294,032 × 1,294,032
  4. Step 4: Simplify right side
    975,236x = 1,674,518,817,024
  5. Step 5: Solve for x
    x = 1,674,518,817,024/975,236
  6. Step 6: Final answer
    x = 1,717,039.59

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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.