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Finding the Third Proportional to 803,210 and 1,689,253

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Solution

The third proportional to 803,210 and 1,689,253 is: 3,552,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,210 : 1,689,253 = 1,689,253 : x
  2. Step 2: Convert to fraction form
    803,210/1,689,253 = 1,689,253/x
  3. Step 3: Cross multiply
    803,210x = 1,689,253 × 1,689,253
  4. Step 4: Simplify right side
    803,210x = 2,853,575,698,009
  5. Step 5: Solve for x
    x = 2,853,575,698,009/803,210
  6. Step 6: Final answer
    x = 3,552,714.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.