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Finding the Third Proportional to 615,526 and 920,827

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Solution

The third proportional to 615,526 and 920,827 is: 1,377,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,526 : 920,827 = 920,827 : x
  2. Step 2: Convert to fraction form
    615,526/920,827 = 920,827/x
  3. Step 3: Cross multiply
    615,526x = 920,827 × 920,827
  4. Step 4: Simplify right side
    615,526x = 847,922,363,929
  5. Step 5: Solve for x
    x = 847,922,363,929/615,526
  6. Step 6: Final answer
    x = 1,377,557.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.