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Finding the Third Proportional to 732,402 and 1,133,451

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Solution

The third proportional to 732,402 and 1,133,451 is: 1,754,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,402 : 1,133,451 = 1,133,451 : x
  2. Step 2: Convert to fraction form
    732,402/1,133,451 = 1,133,451/x
  3. Step 3: Cross multiply
    732,402x = 1,133,451 × 1,133,451
  4. Step 4: Simplify right side
    732,402x = 1,284,711,169,401
  5. Step 5: Solve for x
    x = 1,284,711,169,401/732,402
  6. Step 6: Final answer
    x = 1,754,106.58

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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.