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Finding the Third Proportional to 760,552 and 1,652,485

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Solution

The third proportional to 760,552 and 1,652,485 is: 3,590,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,552 : 1,652,485 = 1,652,485 : x
  2. Step 2: Convert to fraction form
    760,552/1,652,485 = 1,652,485/x
  3. Step 3: Cross multiply
    760,552x = 1,652,485 × 1,652,485
  4. Step 4: Simplify right side
    760,552x = 2,730,706,675,225
  5. Step 5: Solve for x
    x = 2,730,706,675,225/760,552
  6. Step 6: Final answer
    x = 3,590,427.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.