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Finding the Third Proportional to 1,306,196 and 2,830,365

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Solution

The third proportional to 1,306,196 and 2,830,365 is: 6,133,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,196 : 2,830,365 = 2,830,365 : x
  2. Step 2: Convert to fraction form
    1,306,196/2,830,365 = 2,830,365/x
  3. Step 3: Cross multiply
    1,306,196x = 2,830,365 × 2,830,365
  4. Step 4: Simplify right side
    1,306,196x = 8,010,966,033,225
  5. Step 5: Solve for x
    x = 8,010,966,033,225/1,306,196
  6. Step 6: Final answer
    x = 6,133,050.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.