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Finding the Third Proportional to 830,547 and 1,187,671.50

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Solution

The third proportional to 830,547 and 1,187,671.50 is: 1,698,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,547 : 1,187,671.50 = 1,187,671.50 : x
  2. Step 2: Convert to fraction form
    830,547/1,187,671.50 = 1,187,671.50/x
  3. Step 3: Cross multiply
    830,547x = 1,187,671.50 × 1,187,671.50
  4. Step 4: Simplify right side
    830,547x = 1,410,563,591,912.25
  5. Step 5: Solve for x
    x = 1,410,563,591,912.25/830,547
  6. Step 6: Final answer
    x = 1,698,354.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.