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Finding the Third Proportional to 760,358 and 1,613,596

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Solution

The third proportional to 760,358 and 1,613,596 is: 3,424,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,358 : 1,613,596 = 1,613,596 : x
  2. Step 2: Convert to fraction form
    760,358/1,613,596 = 1,613,596/x
  3. Step 3: Cross multiply
    760,358x = 1,613,596 × 1,613,596
  4. Step 4: Simplify right side
    760,358x = 2,603,692,051,216
  5. Step 5: Solve for x
    x = 2,603,692,051,216/760,358
  6. Step 6: Final answer
    x = 3,424,297.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.