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Finding the Third Proportional to 1,045,155 and 1,527,403

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Solution

The third proportional to 1,045,155 and 1,527,403 is: 2,232,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,155 : 1,527,403 = 1,527,403 : x
  2. Step 2: Convert to fraction form
    1,045,155/1,527,403 = 1,527,403/x
  3. Step 3: Cross multiply
    1,045,155x = 1,527,403 × 1,527,403
  4. Step 4: Simplify right side
    1,045,155x = 2,332,959,924,409
  5. Step 5: Solve for x
    x = 2,332,959,924,409/1,045,155
  6. Step 6: Final answer
    x = 2,232,166.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.