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Finding the Third Proportional to 473,807 and 1,023,475

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Solution

The third proportional to 473,807 and 1,023,475 is: 2,210,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,807 : 1,023,475 = 1,023,475 : x
  2. Step 2: Convert to fraction form
    473,807/1,023,475 = 1,023,475/x
  3. Step 3: Cross multiply
    473,807x = 1,023,475 × 1,023,475
  4. Step 4: Simplify right side
    473,807x = 1,047,501,075,625
  5. Step 5: Solve for x
    x = 1,047,501,075,625/473,807
  6. Step 6: Final answer
    x = 2,210,818.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.