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Finding the Third Proportional to 647,904.45 and 893,124.67

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Solution

The third proportional to 647,904.45 and 893,124.67 is: 1,231,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,904.45 : 893,124.67 = 893,124.67 : x
  2. Step 2: Convert to fraction form
    647,904.45/893,124.67 = 893,124.67/x
  3. Step 3: Cross multiply
    647,904.45x = 893,124.67 × 893,124.67
  4. Step 4: Simplify right side
    647,904.45x = 797,671,672,534.29
  5. Step 5: Solve for x
    x = 797,671,672,534.29/647,904.45
  6. Step 6: Final answer
    x = 1,231,156.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.