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Finding the Third Proportional to 760,416 and 1,138,347

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Solution

The third proportional to 760,416 and 1,138,347 is: 1,704,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,416 : 1,138,347 = 1,138,347 : x
  2. Step 2: Convert to fraction form
    760,416/1,138,347 = 1,138,347/x
  3. Step 3: Cross multiply
    760,416x = 1,138,347 × 1,138,347
  4. Step 4: Simplify right side
    760,416x = 1,295,833,892,409
  5. Step 5: Solve for x
    x = 1,295,833,892,409/760,416
  6. Step 6: Final answer
    x = 1,704,111.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.