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Finding the Third Proportional to 611,820 and 1,312,185

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Solution

The third proportional to 611,820 and 1,312,185 is: 2,814,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,820 : 1,312,185 = 1,312,185 : x
  2. Step 2: Convert to fraction form
    611,820/1,312,185 = 1,312,185/x
  3. Step 3: Cross multiply
    611,820x = 1,312,185 × 1,312,185
  4. Step 4: Simplify right side
    611,820x = 1,721,829,474,225
  5. Step 5: Solve for x
    x = 1,721,829,474,225/611,820
  6. Step 6: Final answer
    x = 2,814,274.58

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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.