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Finding the Third Proportional to 719,839.09 and 1,574,864.96

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Solution

The third proportional to 719,839.09 and 1,574,864.96 is: 3,445,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,839.09 : 1,574,864.96 = 1,574,864.96 : x
  2. Step 2: Convert to fraction form
    719,839.09/1,574,864.96 = 1,574,864.96/x
  3. Step 3: Cross multiply
    719,839.09x = 1,574,864.96 × 1,574,864.96
  4. Step 4: Simplify right side
    719,839.09x = 2,480,199,657,492.46
  5. Step 5: Solve for x
    x = 2,480,199,657,492.46/719,839.09
  6. Step 6: Final answer
    x = 3,445,491.77

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Why These Related Problems?

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