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Finding the Third Proportional to 822,368 and 1,270,904

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Solution

The third proportional to 822,368 and 1,270,904 is: 1,964,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,368 : 1,270,904 = 1,270,904 : x
  2. Step 2: Convert to fraction form
    822,368/1,270,904 = 1,270,904/x
  3. Step 3: Cross multiply
    822,368x = 1,270,904 × 1,270,904
  4. Step 4: Simplify right side
    822,368x = 1,615,196,977,216
  5. Step 5: Solve for x
    x = 1,615,196,977,216/822,368
  6. Step 6: Final answer
    x = 1,964,080.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.