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Finding the Third Proportional to 643,820 and 1,019,232

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Solution

The third proportional to 643,820 and 1,019,232 is: 1,613,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,820 : 1,019,232 = 1,019,232 : x
  2. Step 2: Convert to fraction form
    643,820/1,019,232 = 1,019,232/x
  3. Step 3: Cross multiply
    643,820x = 1,019,232 × 1,019,232
  4. Step 4: Simplify right side
    643,820x = 1,038,833,869,824
  5. Step 5: Solve for x
    x = 1,038,833,869,824/643,820
  6. Step 6: Final answer
    x = 1,613,547.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.