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Finding the Third Proportional to 713,607 and 1,497,258

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Solution

The third proportional to 713,607 and 1,497,258 is: 3,141,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,607 : 1,497,258 = 1,497,258 : x
  2. Step 2: Convert to fraction form
    713,607/1,497,258 = 1,497,258/x
  3. Step 3: Cross multiply
    713,607x = 1,497,258 × 1,497,258
  4. Step 4: Simplify right side
    713,607x = 2,241,781,518,564
  5. Step 5: Solve for x
    x = 2,241,781,518,564/713,607
  6. Step 6: Final answer
    x = 3,141,479.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.