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Finding the Third Proportional to 462,913 and 1,007,798

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Solution

The third proportional to 462,913 and 1,007,798 is: 2,194,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,913 : 1,007,798 = 1,007,798 : x
  2. Step 2: Convert to fraction form
    462,913/1,007,798 = 1,007,798/x
  3. Step 3: Cross multiply
    462,913x = 1,007,798 × 1,007,798
  4. Step 4: Simplify right side
    462,913x = 1,015,656,808,804
  5. Step 5: Solve for x
    x = 1,015,656,808,804/462,913
  6. Step 6: Final answer
    x = 2,194,055.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.