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Finding the Third Proportional to 704,932 and 1,004,910

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Solution

The third proportional to 704,932 and 1,004,910 is: 1,432,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,932 : 1,004,910 = 1,004,910 : x
  2. Step 2: Convert to fraction form
    704,932/1,004,910 = 1,004,910/x
  3. Step 3: Cross multiply
    704,932x = 1,004,910 × 1,004,910
  4. Step 4: Simplify right side
    704,932x = 1,009,844,108,100
  5. Step 5: Solve for x
    x = 1,009,844,108,100/704,932
  6. Step 6: Final answer
    x = 1,432,541.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.