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Finding the Third Proportional to 1,030,386 and 1,576,278

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Solution

The third proportional to 1,030,386 and 1,576,278 is: 2,411,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,386 : 1,576,278 = 1,576,278 : x
  2. Step 2: Convert to fraction form
    1,030,386/1,576,278 = 1,576,278/x
  3. Step 3: Cross multiply
    1,030,386x = 1,576,278 × 1,576,278
  4. Step 4: Simplify right side
    1,030,386x = 2,484,652,333,284
  5. Step 5: Solve for x
    x = 2,484,652,333,284/1,030,386
  6. Step 6: Final answer
    x = 2,411,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.