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Finding the Third Proportional to 611,820 and 1,312,236

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Solution

The third proportional to 611,820 and 1,312,236 is: 2,814,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,820 : 1,312,236 = 1,312,236 : x
  2. Step 2: Convert to fraction form
    611,820/1,312,236 = 1,312,236/x
  3. Step 3: Cross multiply
    611,820x = 1,312,236 × 1,312,236
  4. Step 4: Simplify right side
    611,820x = 1,721,963,319,696
  5. Step 5: Solve for x
    x = 1,721,963,319,696/611,820
  6. Step 6: Final answer
    x = 2,814,493.35

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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.