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Finding the Third Proportional to 895,014 and 1,355,521

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Solution

The third proportional to 895,014 and 1,355,521 is: 2,052,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,014 : 1,355,521 = 1,355,521 : x
  2. Step 2: Convert to fraction form
    895,014/1,355,521 = 1,355,521/x
  3. Step 3: Cross multiply
    895,014x = 1,355,521 × 1,355,521
  4. Step 4: Simplify right side
    895,014x = 1,837,437,181,441
  5. Step 5: Solve for x
    x = 1,837,437,181,441/895,014
  6. Step 6: Final answer
    x = 2,052,970.32

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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.