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Finding the Third Proportional to 462,854 and 1,014,484

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Solution

The third proportional to 462,854 and 1,014,484 is: 2,223,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,854 : 1,014,484 = 1,014,484 : x
  2. Step 2: Convert to fraction form
    462,854/1,014,484 = 1,014,484/x
  3. Step 3: Cross multiply
    462,854x = 1,014,484 × 1,014,484
  4. Step 4: Simplify right side
    462,854x = 1,029,177,786,256
  5. Step 5: Solve for x
    x = 1,029,177,786,256/462,854
  6. Step 6: Final answer
    x = 2,223,547.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.