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Finding the Third Proportional to 696,681 and 1,076,724

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Solution

The third proportional to 696,681 and 1,076,724 is: 1,664,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,681 : 1,076,724 = 1,076,724 : x
  2. Step 2: Convert to fraction form
    696,681/1,076,724 = 1,076,724/x
  3. Step 3: Cross multiply
    696,681x = 1,076,724 × 1,076,724
  4. Step 4: Simplify right side
    696,681x = 1,159,334,572,176
  5. Step 5: Solve for x
    x = 1,159,334,572,176/696,681
  6. Step 6: Final answer
    x = 1,664,082.37

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