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Finding the Third Proportional to 761,176 and 1,657,968

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Solution

The third proportional to 761,176 and 1,657,968 is: 3,611,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,176 : 1,657,968 = 1,657,968 : x
  2. Step 2: Convert to fraction form
    761,176/1,657,968 = 1,657,968/x
  3. Step 3: Cross multiply
    761,176x = 1,657,968 × 1,657,968
  4. Step 4: Simplify right side
    761,176x = 2,748,857,889,024
  5. Step 5: Solve for x
    x = 2,748,857,889,024/761,176
  6. Step 6: Final answer
    x = 3,611,330.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.