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Finding the Third Proportional to 803,004 and 1,211,310

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Solution

The third proportional to 803,004 and 1,211,310 is: 1,827,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,004 : 1,211,310 = 1,211,310 : x
  2. Step 2: Convert to fraction form
    803,004/1,211,310 = 1,211,310/x
  3. Step 3: Cross multiply
    803,004x = 1,211,310 × 1,211,310
  4. Step 4: Simplify right side
    803,004x = 1,467,271,916,100
  5. Step 5: Solve for x
    x = 1,467,271,916,100/803,004
  6. Step 6: Final answer
    x = 1,827,228.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.