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Finding the Third Proportional to 560,646 and 1,316,205

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Solution

The third proportional to 560,646 and 1,316,205 is: 3,089,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,646 : 1,316,205 = 1,316,205 : x
  2. Step 2: Convert to fraction form
    560,646/1,316,205 = 1,316,205/x
  3. Step 3: Cross multiply
    560,646x = 1,316,205 × 1,316,205
  4. Step 4: Simplify right side
    560,646x = 1,732,395,602,025
  5. Step 5: Solve for x
    x = 1,732,395,602,025/560,646
  6. Step 6: Final answer
    x = 3,089,999.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.