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Finding the Third Proportional to 583,886 and 1,255,070

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Solution

The third proportional to 583,886 and 1,255,070 is: 2,697,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,886 : 1,255,070 = 1,255,070 : x
  2. Step 2: Convert to fraction form
    583,886/1,255,070 = 1,255,070/x
  3. Step 3: Cross multiply
    583,886x = 1,255,070 × 1,255,070
  4. Step 4: Simplify right side
    583,886x = 1,575,200,704,900
  5. Step 5: Solve for x
    x = 1,575,200,704,900/583,886
  6. Step 6: Final answer
    x = 2,697,788.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.