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Finding the Third Proportional to 1,499,312 and 2,306,320

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Solution

The third proportional to 1,499,312 and 2,306,320 is: 3,547,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499,312 : 2,306,320 = 2,306,320 : x
  2. Step 2: Convert to fraction form
    1,499,312/2,306,320 = 2,306,320/x
  3. Step 3: Cross multiply
    1,499,312x = 2,306,320 × 2,306,320
  4. Step 4: Simplify right side
    1,499,312x = 5,319,111,942,400
  5. Step 5: Solve for x
    x = 5,319,111,942,400/1,499,312
  6. Step 6: Final answer
    x = 3,547,701.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.