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Finding the Third Proportional to 456,454 and 926,730

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Solution

The third proportional to 456,454 and 926,730 is: 1,881,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,454 : 926,730 = 926,730 : x
  2. Step 2: Convert to fraction form
    456,454/926,730 = 926,730/x
  3. Step 3: Cross multiply
    456,454x = 926,730 × 926,730
  4. Step 4: Simplify right side
    456,454x = 858,828,492,900
  5. Step 5: Solve for x
    x = 858,828,492,900/456,454
  6. Step 6: Final answer
    x = 1,881,522.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.