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Finding the Third Proportional to 760,640 and 1,196,304

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Solution

The third proportional to 760,640 and 1,196,304 is: 1,881,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,640 : 1,196,304 = 1,196,304 : x
  2. Step 2: Convert to fraction form
    760,640/1,196,304 = 1,196,304/x
  3. Step 3: Cross multiply
    760,640x = 1,196,304 × 1,196,304
  4. Step 4: Simplify right side
    760,640x = 1,431,143,260,416
  5. Step 5: Solve for x
    x = 1,431,143,260,416/760,640
  6. Step 6: Final answer
    x = 1,881,498.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.