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Finding the Third Proportional to 776,357 and 1,696,646

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Solution

The third proportional to 776,357 and 1,696,646 is: 3,707,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,357 : 1,696,646 = 1,696,646 : x
  2. Step 2: Convert to fraction form
    776,357/1,696,646 = 1,696,646/x
  3. Step 3: Cross multiply
    776,357x = 1,696,646 × 1,696,646
  4. Step 4: Simplify right side
    776,357x = 2,878,607,649,316
  5. Step 5: Solve for x
    x = 2,878,607,649,316/776,357
  6. Step 6: Final answer
    x = 3,707,840.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.