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Finding the Third Proportional to 975,408 and 1,294,590

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Solution

The third proportional to 975,408 and 1,294,590 is: 1,718,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,408 : 1,294,590 = 1,294,590 : x
  2. Step 2: Convert to fraction form
    975,408/1,294,590 = 1,294,590/x
  3. Step 3: Cross multiply
    975,408x = 1,294,590 × 1,294,590
  4. Step 4: Simplify right side
    975,408x = 1,675,963,268,100
  5. Step 5: Solve for x
    x = 1,675,963,268,100/975,408
  6. Step 6: Final answer
    x = 1,718,217.68

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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.