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Finding the Third Proportional to 727,335 and 1,586,835

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Solution

The third proportional to 727,335 and 1,586,835 is: 3,462,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,335 : 1,586,835 = 1,586,835 : x
  2. Step 2: Convert to fraction form
    727,335/1,586,835 = 1,586,835/x
  3. Step 3: Cross multiply
    727,335x = 1,586,835 × 1,586,835
  4. Step 4: Simplify right side
    727,335x = 2,518,045,317,225
  5. Step 5: Solve for x
    x = 2,518,045,317,225/727,335
  6. Step 6: Final answer
    x = 3,462,015.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.