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Finding the Third Proportional to 760,376 and 1,176,961

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Solution

The third proportional to 760,376 and 1,176,961 is: 1,821,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,376 : 1,176,961 = 1,176,961 : x
  2. Step 2: Convert to fraction form
    760,376/1,176,961 = 1,176,961/x
  3. Step 3: Cross multiply
    760,376x = 1,176,961 × 1,176,961
  4. Step 4: Simplify right side
    760,376x = 1,385,237,195,521
  5. Step 5: Solve for x
    x = 1,385,237,195,521/760,376
  6. Step 6: Final answer
    x = 1,821,779.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.