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Finding the Third Proportional to 620,186 and 959,547

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Solution

The third proportional to 620,186 and 959,547 is: 1,484,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,186 : 959,547 = 959,547 : x
  2. Step 2: Convert to fraction form
    620,186/959,547 = 959,547/x
  3. Step 3: Cross multiply
    620,186x = 959,547 × 959,547
  4. Step 4: Simplify right side
    620,186x = 920,730,445,209
  5. Step 5: Solve for x
    x = 920,730,445,209/620,186
  6. Step 6: Final answer
    x = 1,484,603.72

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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.