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Finding the Third Proportional to 877,820 and 1,886,592

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Solution

The third proportional to 877,820 and 1,886,592 is: 4,054,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,820 : 1,886,592 = 1,886,592 : x
  2. Step 2: Convert to fraction form
    877,820/1,886,592 = 1,886,592/x
  3. Step 3: Cross multiply
    877,820x = 1,886,592 × 1,886,592
  4. Step 4: Simplify right side
    877,820x = 3,559,229,374,464
  5. Step 5: Solve for x
    x = 3,559,229,374,464/877,820
  6. Step 6: Final answer
    x = 4,054,623.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.