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Finding the Third Proportional to 1,596,467 and 3,547,237

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Solution

The third proportional to 1,596,467 and 3,547,237 is: 7,881,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,467 : 3,547,237 = 3,547,237 : x
  2. Step 2: Convert to fraction form
    1,596,467/3,547,237 = 3,547,237/x
  3. Step 3: Cross multiply
    1,596,467x = 3,547,237 × 3,547,237
  4. Step 4: Simplify right side
    1,596,467x = 12,582,890,334,169
  5. Step 5: Solve for x
    x = 12,582,890,334,169/1,596,467
  6. Step 6: Final answer
    x = 7,881,710.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.