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Finding the Third Proportional to 583,480 and 1,289,432

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Solution

The third proportional to 583,480 and 1,289,432 is: 2,849,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,480 : 1,289,432 = 1,289,432 : x
  2. Step 2: Convert to fraction form
    583,480/1,289,432 = 1,289,432/x
  3. Step 3: Cross multiply
    583,480x = 1,289,432 × 1,289,432
  4. Step 4: Simplify right side
    583,480x = 1,662,634,882,624
  5. Step 5: Solve for x
    x = 1,662,634,882,624/583,480
  6. Step 6: Final answer
    x = 2,849,514.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.