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Finding the Third Proportional to 1,127,886,246 and 1,724,249,988

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Solution

The third proportional to 1,127,886,246 and 1,724,249,988 is: 2,635,937,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,886,246 : 1,724,249,988 = 1,724,249,988 : x
  2. Step 2: Convert to fraction form
    1,127,886,246/1,724,249,988 = 1,724,249,988/x
  3. Step 3: Cross multiply
    1,127,886,246x = 1,724,249,988 × 1,724,249,988
  4. Step 4: Simplify right side
    1,127,886,246x = 2,973,038,021,118,000,128
  5. Step 5: Solve for x
    x = 2,973,038,021,118,000,128/1,127,886,246
  6. Step 6: Final answer
    x = 2,635,937,827.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.