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Finding the Third Proportional to 786,924 and 1,685,484

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Solution

The third proportional to 786,924 and 1,685,484 is: 3,610,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,924 : 1,685,484 = 1,685,484 : x
  2. Step 2: Convert to fraction form
    786,924/1,685,484 = 1,685,484/x
  3. Step 3: Cross multiply
    786,924x = 1,685,484 × 1,685,484
  4. Step 4: Simplify right side
    786,924x = 2,840,856,314,256
  5. Step 5: Solve for x
    x = 2,840,856,314,256/786,924
  6. Step 6: Final answer
    x = 3,610,077.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.