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Finding the Third Proportional to 997,542 and 1,547,774

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Solution

The third proportional to 997,542 and 1,547,774 is: 2,401,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,542 : 1,547,774 = 1,547,774 : x
  2. Step 2: Convert to fraction form
    997,542/1,547,774 = 1,547,774/x
  3. Step 3: Cross multiply
    997,542x = 1,547,774 × 1,547,774
  4. Step 4: Simplify right side
    997,542x = 2,395,604,355,076
  5. Step 5: Solve for x
    x = 2,395,604,355,076/997,542
  6. Step 6: Final answer
    x = 2,401,507.26

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