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Finding the Third Proportional to 1,030,811.20 and 1,572,878.46

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Solution

The third proportional to 1,030,811.20 and 1,572,878.46 is: 2,399,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,811.20 : 1,572,878.46 = 1,572,878.46 : x
  2. Step 2: Convert to fraction form
    1,030,811.20/1,572,878.46 = 1,572,878.46/x
  3. Step 3: Cross multiply
    1,030,811.20x = 1,572,878.46 × 1,572,878.46
  4. Step 4: Simplify right side
    1,030,811.20x = 2,473,946,652,881.12
  5. Step 5: Solve for x
    x = 2,473,946,652,881.12/1,030,811.20
  6. Step 6: Final answer
    x = 2,399,999.77

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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.