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Finding the Third Proportional to 714,072 and 1,031,796

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Solution

The third proportional to 714,072 and 1,031,796 is: 1,490,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,072 : 1,031,796 = 1,031,796 : x
  2. Step 2: Convert to fraction form
    714,072/1,031,796 = 1,031,796/x
  3. Step 3: Cross multiply
    714,072x = 1,031,796 × 1,031,796
  4. Step 4: Simplify right side
    714,072x = 1,064,602,985,616
  5. Step 5: Solve for x
    x = 1,064,602,985,616/714,072
  6. Step 6: Final answer
    x = 1,490,890.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.