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Finding the Third Proportional to 760,312 and 1,652,048

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Solution

The third proportional to 760,312 and 1,652,048 is: 3,589,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,312 : 1,652,048 = 1,652,048 : x
  2. Step 2: Convert to fraction form
    760,312/1,652,048 = 1,652,048/x
  3. Step 3: Cross multiply
    760,312x = 1,652,048 × 1,652,048
  4. Step 4: Simplify right side
    760,312x = 2,729,262,594,304
  5. Step 5: Solve for x
    x = 2,729,262,594,304/760,312
  6. Step 6: Final answer
    x = 3,589,661.34

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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.