Finding the Third Proportional to 971,258 and 1,470,411
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Solution
The third proportional to 971,258 and 1,470,411 is: 2,226,090.81
Step by Step Solution
- Step 1: Write the proportion equation
971,258 : 1,470,411 = 1,470,411 : x - Step 2: Convert to fraction form
971,258/1,470,411 = 1,470,411/x - Step 3: Cross multiply
971,258x = 1,470,411 × 1,470,411 - Step 4: Simplify right side
971,258x = 2,162,108,508,921 - Step 5: Solve for x
x = 2,162,108,508,921/971,258 - Step 6: Final answer
x = 2,226,090.81
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.