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Finding the Third Proportional to 997,534 and 1,547,763

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Solution

The third proportional to 997,534 and 1,547,763 is: 2,401,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,534 : 1,547,763 = 1,547,763 : x
  2. Step 2: Convert to fraction form
    997,534/1,547,763 = 1,547,763/x
  3. Step 3: Cross multiply
    997,534x = 1,547,763 × 1,547,763
  4. Step 4: Simplify right side
    997,534x = 2,395,570,304,169
  5. Step 5: Solve for x
    x = 2,395,570,304,169/997,534
  6. Step 6: Final answer
    x = 2,401,492.38

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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.