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Finding the Third Proportional to 713,964 and 1,501,557

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Solution

The third proportional to 713,964 and 1,501,557 is: 3,157,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,964 : 1,501,557 = 1,501,557 : x
  2. Step 2: Convert to fraction form
    713,964/1,501,557 = 1,501,557/x
  3. Step 3: Cross multiply
    713,964x = 1,501,557 × 1,501,557
  4. Step 4: Simplify right side
    713,964x = 2,254,673,424,249
  5. Step 5: Solve for x
    x = 2,254,673,424,249/713,964
  6. Step 6: Final answer
    x = 3,157,965.14

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