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Finding the Third Proportional to 793,938 and 1,547,784

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Solution

The third proportional to 793,938 and 1,547,784 is: 3,017,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,938 : 1,547,784 = 1,547,784 : x
  2. Step 2: Convert to fraction form
    793,938/1,547,784 = 1,547,784/x
  3. Step 3: Cross multiply
    793,938x = 1,547,784 × 1,547,784
  4. Step 4: Simplify right side
    793,938x = 2,395,635,310,656
  5. Step 5: Solve for x
    x = 2,395,635,310,656/793,938
  6. Step 6: Final answer
    x = 3,017,408.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.