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Finding the Third Proportional to 828,044 and 1,249,934

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Solution

The third proportional to 828,044 and 1,249,934 is: 1,886,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,044 : 1,249,934 = 1,249,934 : x
  2. Step 2: Convert to fraction form
    828,044/1,249,934 = 1,249,934/x
  3. Step 3: Cross multiply
    828,044x = 1,249,934 × 1,249,934
  4. Step 4: Simplify right side
    828,044x = 1,562,335,004,356
  5. Step 5: Solve for x
    x = 1,562,335,004,356/828,044
  6. Step 6: Final answer
    x = 1,886,777.76

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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.