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Finding the Third Proportional to 402,594 and 880,914

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Solution

The third proportional to 402,594 and 880,914 is: 1,927,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,594 : 880,914 = 880,914 : x
  2. Step 2: Convert to fraction form
    402,594/880,914 = 880,914/x
  3. Step 3: Cross multiply
    402,594x = 880,914 × 880,914
  4. Step 4: Simplify right side
    402,594x = 776,009,475,396
  5. Step 5: Solve for x
    x = 776,009,475,396/402,594
  6. Step 6: Final answer
    x = 1,927,523.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.