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Finding the Third Proportional to 697,332 and 1,077,534

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Solution

The third proportional to 697,332 and 1,077,534 is: 1,665,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,332 : 1,077,534 = 1,077,534 : x
  2. Step 2: Convert to fraction form
    697,332/1,077,534 = 1,077,534/x
  3. Step 3: Cross multiply
    697,332x = 1,077,534 × 1,077,534
  4. Step 4: Simplify right side
    697,332x = 1,161,079,521,156
  5. Step 5: Solve for x
    x = 1,161,079,521,156/697,332
  6. Step 6: Final answer
    x = 1,665,031.18

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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.