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Finding the Third Proportional to 711,562.50 and 1,549,412.50

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Solution

The third proportional to 711,562.50 and 1,549,412.50 is: 3,373,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,562.50 : 1,549,412.50 = 1,549,412.50 : x
  2. Step 2: Convert to fraction form
    711,562.50/1,549,412.50 = 1,549,412.50/x
  3. Step 3: Cross multiply
    711,562.50x = 1,549,412.50 × 1,549,412.50
  4. Step 4: Simplify right side
    711,562.50x = 2,400,679,095,156.25
  5. Step 5: Solve for x
    x = 2,400,679,095,156.25/711,562.50
  6. Step 6: Final answer
    x = 3,373,813.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.