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Finding the Third Proportional to 997,533 and 1,547,759.50

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Solution

The third proportional to 997,533 and 1,547,759.50 is: 2,401,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,533 : 1,547,759.50 = 1,547,759.50 : x
  2. Step 2: Convert to fraction form
    997,533/1,547,759.50 = 1,547,759.50/x
  3. Step 3: Cross multiply
    997,533x = 1,547,759.50 × 1,547,759.50
  4. Step 4: Simplify right side
    997,533x = 2,395,559,469,840.25
  5. Step 5: Solve for x
    x = 2,395,559,469,840.25/997,533
  6. Step 6: Final answer
    x = 2,401,483.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.