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Finding the Third Proportional to 586,140 and 1,255,224

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Solution

The third proportional to 586,140 and 1,255,224 is: 2,688,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,140 : 1,255,224 = 1,255,224 : x
  2. Step 2: Convert to fraction form
    586,140/1,255,224 = 1,255,224/x
  3. Step 3: Cross multiply
    586,140x = 1,255,224 × 1,255,224
  4. Step 4: Simplify right side
    586,140x = 1,575,587,290,176
  5. Step 5: Solve for x
    x = 1,575,587,290,176/586,140
  6. Step 6: Final answer
    x = 2,688,073.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.