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Finding the Third Proportional to 760,130 and 1,652,570

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Solution

The third proportional to 760,130 and 1,652,570 is: 3,592,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,130 : 1,652,570 = 1,652,570 : x
  2. Step 2: Convert to fraction form
    760,130/1,652,570 = 1,652,570/x
  3. Step 3: Cross multiply
    760,130x = 1,652,570 × 1,652,570
  4. Step 4: Simplify right side
    760,130x = 2,730,987,604,900
  5. Step 5: Solve for x
    x = 2,730,987,604,900/760,130
  6. Step 6: Final answer
    x = 3,592,790.19

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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.