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Finding the Third Proportional to 687,533 and 1,010,237

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Solution

The third proportional to 687,533 and 1,010,237 is: 1,484,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,533 : 1,010,237 = 1,010,237 : x
  2. Step 2: Convert to fraction form
    687,533/1,010,237 = 1,010,237/x
  3. Step 3: Cross multiply
    687,533x = 1,010,237 × 1,010,237
  4. Step 4: Simplify right side
    687,533x = 1,020,578,796,169
  5. Step 5: Solve for x
    x = 1,020,578,796,169/687,533
  6. Step 6: Final answer
    x = 1,484,407.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.