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Finding the Third Proportional to 772,272 and 1,195,776

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Solution

The third proportional to 772,272 and 1,195,776 is: 1,851,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,272 : 1,195,776 = 1,195,776 : x
  2. Step 2: Convert to fraction form
    772,272/1,195,776 = 1,195,776/x
  3. Step 3: Cross multiply
    772,272x = 1,195,776 × 1,195,776
  4. Step 4: Simplify right side
    772,272x = 1,429,880,242,176
  5. Step 5: Solve for x
    x = 1,429,880,242,176/772,272
  6. Step 6: Final answer
    x = 1,851,524.13

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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.