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Finding the Third Proportional to 761,178 and 1,657,972

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Solution

The third proportional to 761,178 and 1,657,972 is: 3,611,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,178 : 1,657,972 = 1,657,972 : x
  2. Step 2: Convert to fraction form
    761,178/1,657,972 = 1,657,972/x
  3. Step 3: Cross multiply
    761,178x = 1,657,972 × 1,657,972
  4. Step 4: Simplify right side
    761,178x = 2,748,871,152,784
  5. Step 5: Solve for x
    x = 2,748,871,152,784/761,178
  6. Step 6: Final answer
    x = 3,611,338.15

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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.