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Finding the Third Proportional to 713,965 and 1,501,559

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Solution

The third proportional to 713,965 and 1,501,559 is: 3,157,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,965 : 1,501,559 = 1,501,559 : x
  2. Step 2: Convert to fraction form
    713,965/1,501,559 = 1,501,559/x
  3. Step 3: Cross multiply
    713,965x = 1,501,559 × 1,501,559
  4. Step 4: Simplify right side
    713,965x = 2,254,679,430,481
  5. Step 5: Solve for x
    x = 2,254,679,430,481/713,965
  6. Step 6: Final answer
    x = 3,157,969.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.