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Finding the Third Proportional to 696,765 and 1,076,862

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Solution

The third proportional to 696,765 and 1,076,862 is: 1,664,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,765 : 1,076,862 = 1,076,862 : x
  2. Step 2: Convert to fraction form
    696,765/1,076,862 = 1,076,862/x
  3. Step 3: Cross multiply
    696,765x = 1,076,862 × 1,076,862
  4. Step 4: Simplify right side
    696,765x = 1,159,631,767,044
  5. Step 5: Solve for x
    x = 1,159,631,767,044/696,765
  6. Step 6: Final answer
    x = 1,664,308.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.