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Finding the Third Proportional to 903,294 and 1,298,352

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Solution

The third proportional to 903,294 and 1,298,352 is: 1,866,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,294 : 1,298,352 = 1,298,352 : x
  2. Step 2: Convert to fraction form
    903,294/1,298,352 = 1,298,352/x
  3. Step 3: Cross multiply
    903,294x = 1,298,352 × 1,298,352
  4. Step 4: Simplify right side
    903,294x = 1,685,717,915,904
  5. Step 5: Solve for x
    x = 1,685,717,915,904/903,294
  6. Step 6: Final answer
    x = 1,866,189.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.