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Finding the Third Proportional to 828,312 and 1,254,942

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Solution

The third proportional to 828,312 and 1,254,942 is: 1,901,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,312 : 1,254,942 = 1,254,942 : x
  2. Step 2: Convert to fraction form
    828,312/1,254,942 = 1,254,942/x
  3. Step 3: Cross multiply
    828,312x = 1,254,942 × 1,254,942
  4. Step 4: Simplify right side
    828,312x = 1,574,879,423,364
  5. Step 5: Solve for x
    x = 1,574,879,423,364/828,312
  6. Step 6: Final answer
    x = 1,901,311.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.