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Finding the Third Proportional to 684,306 and 1,000,457

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Solution

The third proportional to 684,306 and 1,000,457 is: 1,462,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,306 : 1,000,457 = 1,000,457 : x
  2. Step 2: Convert to fraction form
    684,306/1,000,457 = 1,000,457/x
  3. Step 3: Cross multiply
    684,306x = 1,000,457 × 1,000,457
  4. Step 4: Simplify right side
    684,306x = 1,000,914,208,849
  5. Step 5: Solve for x
    x = 1,000,914,208,849/684,306
  6. Step 6: Final answer
    x = 1,462,670.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.